372: 124:: ?:?

Options

A. 81: 243
B. 900:450
C. 624:208
D. 513:161

Explanation

To solve the analogy problem 372: 124:: ?:?, we need to determine the relationship between the numbers 372 and 124 and then apply the same relationship to find the missing pair.

### Step-by-Step Solution:

1. **Identify the relationship between 372 and 124**:
- To find the relationship, we can divide 372 by 124.
- Calculation:
\[ 372 \div 124 = 3 \]
- This means that 372 is 3 times 124.

2. **Set up the relationship for the unknown pair**:
- Let’s denote the unknown pair as \( x : y \).
- We can establish the same relationship:
\[ x = 3y \]

3. **Evaluate the options provided**:
- We will check each option to see if it satisfies the equation \( x = 3y \).

- **Option 1**: \( 81 : 243 \)
- Calculate \( 3 \times 81 = 243 \) (This works, but we need to check if it's the only option).

- **Option 2**: \( 900 : 450 \)
- Calculate \( 3 \times 450 = 1350 \) (This does not work).

- **Option 3**: \( 208 : 624 \)
- Calculate \( 3 \times 208 = 624 \) (This works).

- **Option 4**: \( 513 : 161 \)
- Calculate \( 3 \times 161 = 483 \) (This does not work).

4. **Conclusion**:
- The correct pair that maintains the same relationship as 372: 124 is \( 624 : 208 \).

Thus, the answer is:
\[ \text{624 : 208} \]