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Finding the Third Proportional to 62,612 and 95,464

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Solution

The third proportional to 62,612 and 95,464 is: 145,553.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,612 : 95,464 = 95,464 : x
  2. Step 2: Convert to fraction form
    62,612/95,464 = 95,464/x
  3. Step 3: Cross multiply
    62,612x = 95,464 × 95,464
  4. Step 4: Simplify right side
    62,612x = 9,113,375,296
  5. Step 5: Solve for x
    x = 9,113,375,296/62,612
  6. Step 6: Final answer
    x = 145,553.17

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.