Identify the Missing Number in the Range Between 51,170 and 51,190

To solve this problem, we'll follow these steps:

• Step 1: Identify the range defined by the inequality 51,170 < \Box < 51,190 .
• Step 2: Compare each answer choice against this range.

Now, let's work through each step:

Step 1: The problem specifies a range from 51,170 to 51,190. We need a value that is greater than 51,170 but less than 51,190.

Step 2: Checking each choice:
- Choice 1: $51,085$ is less than 51,170, so it does not satisfy the condition.
- Choice 2: $51,182$ is greater than 51,170 and less than 51,190. This satisfies the condition.
- Choice 3: $51,192$ is greater than 51,190, so it does not satisfy the condition.
- Choice 4: $51,162$ is less than 51,170, so it does not satisfy the condition.

Therefore, the solution to the problem is $51,182$.