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Finding the Third Proportional to 83,158.13 and 127,966.13

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Solution

The third proportional to 83,158.13 and 127,966.13 is: 196,917.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,158.13 : 127,966.13 = 127,966.13 : x
  2. Step 2: Convert to fraction form
    83,158.13/127,966.13 = 127,966.13/x
  3. Step 3: Cross multiply
    83,158.13x = 127,966.13 × 127,966.13
  4. Step 4: Simplify right side
    83,158.13x = 16,375,329,147.52
  5. Step 5: Solve for x
    x = 16,375,329,147.52/83,158.13
  6. Step 6: Final answer
    x = 196,917.97

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.