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Finding the Third Proportional to 71,372 and 93,874

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Solution

The third proportional to 71,372 and 93,874 is: 123,470.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,372 : 93,874 = 93,874 : x
  2. Step 2: Convert to fraction form
    71,372/93,874 = 93,874/x
  3. Step 3: Cross multiply
    71,372x = 93,874 × 93,874
  4. Step 4: Simplify right side
    71,372x = 8,812,327,876
  5. Step 5: Solve for x
    x = 8,812,327,876/71,372
  6. Step 6: Final answer
    x = 123,470.38

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.