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Finding the Third Proportional to 86,593 and 129,542

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Solution

The third proportional to 86,593 and 129,542 is: 193,793.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,593 : 129,542 = 129,542 : x
  2. Step 2: Convert to fraction form
    86,593/129,542 = 129,542/x
  3. Step 3: Cross multiply
    86,593x = 129,542 × 129,542
  4. Step 4: Simplify right side
    86,593x = 16,781,129,764
  5. Step 5: Solve for x
    x = 16,781,129,764/86,593
  6. Step 6: Final answer
    x = 193,793.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.