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Finding the Third Proportional to 83,229.75 and 126,919.13

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Solution

The third proportional to 83,229.75 and 126,919.13 is: 193,542.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,229.75 : 126,919.13 = 126,919.13 : x
  2. Step 2: Convert to fraction form
    83,229.75/126,919.13 = 126,919.13/x
  3. Step 3: Cross multiply
    83,229.75x = 126,919.13 × 126,919.13
  4. Step 4: Simplify right side
    83,229.75x = 16,108,464,290.77
  5. Step 5: Solve for x
    x = 16,108,464,290.77/83,229.75
  6. Step 6: Final answer
    x = 193,542.14

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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.