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Finding the Third Proportional to 83,502.50 and 129,321.75

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Solution

The third proportional to 83,502.50 and 129,321.75 is: 200,282.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,502.50 : 129,321.75 = 129,321.75 : x
  2. Step 2: Convert to fraction form
    83,502.50/129,321.75 = 129,321.75/x
  3. Step 3: Cross multiply
    83,502.50x = 129,321.75 × 129,321.75
  4. Step 4: Simplify right side
    83,502.50x = 16,724,115,023.06
  5. Step 5: Solve for x
    x = 16,724,115,023.06/83,502.50
  6. Step 6: Final answer
    x = 200,282.81

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.