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Finding the Third Proportional to 80,150.13 and 125,077.61

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Solution

The third proportional to 80,150.13 and 125,077.61 is: 195,188.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,150.13 : 125,077.61 = 125,077.61 : x
  2. Step 2: Convert to fraction form
    80,150.13/125,077.61 = 125,077.61/x
  3. Step 3: Cross multiply
    80,150.13x = 125,077.61 × 125,077.61
  4. Step 4: Simplify right side
    80,150.13x = 15,644,407,389.80
  5. Step 5: Solve for x
    x = 15,644,407,389.80/80,150.13
  6. Step 6: Final answer
    x = 195,188.79

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.