Here's the corrected implementation with proper locking to eliminate the race condition:

```python
import threading

class JobQueue:
    def __init__(self):
        self.jobs = {}
        self.results = {}
        self.lock = threading.Lock()

    def add_job(self, job_id, data):
        with self.lock:
            self.jobs[job_id] = data
        return job_id

    def process_job(self, job_id, processor):
        # Acquire lock to safely check and retrieve job data
        with self.lock:
            if job_id not in self.jobs:
                return False
            data = self.jobs[job_id]

        # Release lock during processing to avoid blocking other threads
        result = processor(data)

        # Re-acquire lock to safely update results and clean up job
        with self.lock:
            self.results[job_id] = result
            del self.jobs[job_id]

        return True

    def get_result(self, job_id):
        with self.lock:
            return self.results.get(job_id)
```

### Key Fixes:
1. **Introduced a thread-safe lock** (`threading.Lock`) in `__init__` to synchronize access to shared data structures.
2. **Protected all operations** on `self.jobs` and `self.results` with the lock using `with self.lock:` blocks.
3. **Separated the processor execution from the lock** to prevent unnecessary thread blocking during CPU- or I/O-intensive processing.
4. **Ensured atomicity** of job removal and result storage by keeping them under the same lock acquisition.

### Why This Fixes the Race Condition:
- Prevents concurrent threads from modifying `self.jobs` or `self.results` simultaneously.
- Ensures that job retrieval, result writing, and deletion happen in a controlled and thread-safe manner.
- Maintains consistent state across all operations, avoiding lost updates, corrupted reads, or KeyError exceptions.

### Optional Enhancement (Exception Handling):
To ensure robustness in case the processor raises an exception, consider wrapping the processing step in a `try` block to guarantee job cleanup:

```python
    def process_job(self, job_id, processor):
        with self.lock:
            if job_id not in self.jobs:
                return False
            data = self.jobs[job_id]

        try:
            result = processor(data)
        except Exception:
            with self.lock:
                del self.jobs[job_id]
            return False

        with self.lock:
            self.results[job_id] = result
            del self.jobs[job_id]

        return True
```

This optional version ensures that even in the event of a failure, the job is not left orphaned in `self.jobs`.