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Finding the Third Proportional to 83,687 and 125,531

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Solution

The third proportional to 83,687 and 125,531 is: 188,297.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,687 : 125,531 = 125,531 : x
  2. Step 2: Convert to fraction form
    83,687/125,531 = 125,531/x
  3. Step 3: Cross multiply
    83,687x = 125,531 × 125,531
  4. Step 4: Simplify right side
    83,687x = 15,758,031,961
  5. Step 5: Solve for x
    x = 15,758,031,961/83,687
  6. Step 6: Final answer
    x = 188,297.25

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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.