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Finding the Third Proportional to 59,638 and 126,374

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Solution

The third proportional to 59,638 and 126,374 is: 267,788.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,638 : 126,374 = 126,374 : x
  2. Step 2: Convert to fraction form
    59,638/126,374 = 126,374/x
  3. Step 3: Cross multiply
    59,638x = 126,374 × 126,374
  4. Step 4: Simplify right side
    59,638x = 15,970,387,876
  5. Step 5: Solve for x
    x = 15,970,387,876/59,638
  6. Step 6: Final answer
    x = 267,788.79

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.