Finding the Right Number: Identify the Solution Within 101,000 < ◻ < 111,010

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

• Step 1: Review the given choices.
• Step 2: Compare each choice against the range $101,000 < \Box < 111,010$.
• Step 3: Select the correct number within this range.

Let's work through these steps:

Step 1: Refer to the choices provided:
- $111,100$
- $111,099$
- $101,999$
- $120,003$

Step 2: Now, check each one to see if they fall within the range:

• $111,100$ is greater than 111,010, so it does not satisfy $\Box < 111,010$.
• $111,099$ is greater than 111,010, so it does not satisfy $\Box < 111,010$.
• $101,999$: This number is more than 101,000 and less than 111,010. Therefore, it fits the criteria.
• $120,003$ is greater than 111,010, so it does not satisfy $\Box < 111,010$.

Step 3: After reviewing all the choices, we find that the correct number that fits within the specified range is:

$101,999$