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Finding the Third Proportional to 80,661.38 and 125,306.44

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Solution

The third proportional to 80,661.38 and 125,306.44 is: 194,661.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,661.38 : 125,306.44 = 125,306.44 : x
  2. Step 2: Convert to fraction form
    80,661.38/125,306.44 = 125,306.44/x
  3. Step 3: Cross multiply
    80,661.38x = 125,306.44 × 125,306.44
  4. Step 4: Simplify right side
    80,661.38x = 15,701,703,278.94
  5. Step 5: Solve for x
    x = 15,701,703,278.94/80,661.38
  6. Step 6: Final answer
    x = 194,661.98

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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.