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Finding the Third Proportional to 116,882 and 165,387

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Solution

The third proportional to 116,882 and 165,387 is: 234,021.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,882 : 165,387 = 165,387 : x
  2. Step 2: Convert to fraction form
    116,882/165,387 = 165,387/x
  3. Step 3: Cross multiply
    116,882x = 165,387 × 165,387
  4. Step 4: Simplify right side
    116,882x = 27,352,859,769
  5. Step 5: Solve for x
    x = 27,352,859,769/116,882
  6. Step 6: Final answer
    x = 234,021.15

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.