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Finding the Third Proportional to 63,882 and 131,863

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Solution

The third proportional to 63,882 and 131,863 is: 272,187.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,882 : 131,863 = 131,863 : x
  2. Step 2: Convert to fraction form
    63,882/131,863 = 131,863/x
  3. Step 3: Cross multiply
    63,882x = 131,863 × 131,863
  4. Step 4: Simplify right side
    63,882x = 17,387,850,769
  5. Step 5: Solve for x
    x = 17,387,850,769/63,882
  6. Step 6: Final answer
    x = 272,187.01

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.