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Finding the Third Proportional to 57,472 and 126,464

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Solution

The third proportional to 57,472 and 126,464 is: 278,277.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,472 : 126,464 = 126,464 : x
  2. Step 2: Convert to fraction form
    57,472/126,464 = 126,464/x
  3. Step 3: Cross multiply
    57,472x = 126,464 × 126,464
  4. Step 4: Simplify right side
    57,472x = 15,993,143,296
  5. Step 5: Solve for x
    x = 15,993,143,296/57,472
  6. Step 6: Final answer
    x = 278,277.13

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.