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Finding the Third Proportional to 83,473.50 and 129,260.75

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Solution

The third proportional to 83,473.50 and 129,260.75 is: 200,163.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,473.50 : 129,260.75 = 129,260.75 : x
  2. Step 2: Convert to fraction form
    83,473.50/129,260.75 = 129,260.75/x
  3. Step 3: Cross multiply
    83,473.50x = 129,260.75 × 129,260.75
  4. Step 4: Simplify right side
    83,473.50x = 16,708,341,490.56
  5. Step 5: Solve for x
    x = 16,708,341,490.56/83,473.50
  6. Step 6: Final answer
    x = 200,163.42

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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.