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Finding the Third Proportional to 87.89 and 134.86

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Solution

The third proportional to 87.89 and 134.86 is: 206.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    87.89 : 134.86 = 134.86 : x
  2. Step 2: Convert to fraction form
    87.89/134.86 = 134.86/x
  3. Step 3: Cross multiply
    87.89x = 134.86 × 134.86
  4. Step 4: Simplify right side
    87.89x = 18,187.05
  5. Step 5: Solve for x
    x = 18,187.05/87.89
  6. Step 6: Final answer
    x = 206.93

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.