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Finding the Third Proportional to 67,882 and 98,744

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Solution

The third proportional to 67,882 and 98,744 is: 143,637.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,882 : 98,744 = 98,744 : x
  2. Step 2: Convert to fraction form
    67,882/98,744 = 98,744/x
  3. Step 3: Cross multiply
    67,882x = 98,744 × 98,744
  4. Step 4: Simplify right side
    67,882x = 9,750,377,536
  5. Step 5: Solve for x
    x = 9,750,377,536/67,882
  6. Step 6: Final answer
    x = 143,637.16

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.