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Finding the Third Proportional to 59,869.13 and 129,701.25

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Solution

The third proportional to 59,869.13 and 129,701.25 is: 280,986.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,869.13 : 129,701.25 = 129,701.25 : x
  2. Step 2: Convert to fraction form
    59,869.13/129,701.25 = 129,701.25/x
  3. Step 3: Cross multiply
    59,869.13x = 129,701.25 × 129,701.25
  4. Step 4: Simplify right side
    59,869.13x = 16,822,414,251.56
  5. Step 5: Solve for x
    x = 16,822,414,251.56/59,869.13
  6. Step 6: Final answer
    x = 280,986.47

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.