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Finding the Third Proportional to 62,850 and 135,542

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Solution

The third proportional to 62,850 and 135,542 is: 292,309.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,850 : 135,542 = 135,542 : x
  2. Step 2: Convert to fraction form
    62,850/135,542 = 135,542/x
  3. Step 3: Cross multiply
    62,850x = 135,542 × 135,542
  4. Step 4: Simplify right side
    62,850x = 18,371,633,764
  5. Step 5: Solve for x
    x = 18,371,633,764/62,850
  6. Step 6: Final answer
    x = 292,309.21

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.