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Finding the Third Proportional to 62,432 and 95,744

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Solution

The third proportional to 62,432 and 95,744 is: 146,830.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,432 : 95,744 = 95,744 : x
  2. Step 2: Convert to fraction form
    62,432/95,744 = 95,744/x
  3. Step 3: Cross multiply
    62,432x = 95,744 × 95,744
  4. Step 4: Simplify right side
    62,432x = 9,166,913,536
  5. Step 5: Solve for x
    x = 9,166,913,536/62,432
  6. Step 6: Final answer
    x = 146,830.37

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.