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Finding the Third Proportional to 41,272 and 87,872

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Solution

The third proportional to 41,272 and 87,872 is: 187,087.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,272 : 87,872 = 87,872 : x
  2. Step 2: Convert to fraction form
    41,272/87,872 = 87,872/x
  3. Step 3: Cross multiply
    41,272x = 87,872 × 87,872
  4. Step 4: Simplify right side
    41,272x = 7,721,488,384
  5. Step 5: Solve for x
    x = 7,721,488,384/41,272
  6. Step 6: Final answer
    x = 187,087.82

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.