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Finding the Third Proportional to 80.89 and 125.61

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Solution

The third proportional to 80.89 and 125.61 is: 195.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.89 : 125.61 = 125.61 : x
  2. Step 2: Convert to fraction form
    80.89/125.61 = 125.61/x
  3. Step 3: Cross multiply
    80.89x = 125.61 × 125.61
  4. Step 4: Simplify right side
    80.89x = 15,778.70
  5. Step 5: Solve for x
    x = 15,778.70/80.89
  6. Step 6: Final answer
    x = 195.05

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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.