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Finding the Third Proportional to 83,982.38 and 127,306.13

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Solution

The third proportional to 83,982.38 and 127,306.13 is: 192,979.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,982.38 : 127,306.13 = 127,306.13 : x
  2. Step 2: Convert to fraction form
    83,982.38/127,306.13 = 127,306.13/x
  3. Step 3: Cross multiply
    83,982.38x = 127,306.13 × 127,306.13
  4. Step 4: Simplify right side
    83,982.38x = 16,206,849,462.52
  5. Step 5: Solve for x
    x = 16,206,849,462.52/83,982.38
  6. Step 6: Final answer
    x = 192,979.18

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.