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Finding the Third Proportional to 87,734 and 137,487

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Solution

The third proportional to 87,734 and 137,487 is: 215,454.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,734 : 137,487 = 137,487 : x
  2. Step 2: Convert to fraction form
    87,734/137,487 = 137,487/x
  3. Step 3: Cross multiply
    87,734x = 137,487 × 137,487
  4. Step 4: Simplify right side
    87,734x = 18,902,675,169
  5. Step 5: Solve for x
    x = 18,902,675,169/87,734
  6. Step 6: Final answer
    x = 215,454.39

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.