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Finding the Third Proportional to 87.81 and 122.81

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Solution

The third proportional to 87.81 and 122.81 is: 171.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    87.81 : 122.81 = 122.81 : x
  2. Step 2: Convert to fraction form
    87.81/122.81 = 122.81/x
  3. Step 3: Cross multiply
    87.81x = 122.81 × 122.81
  4. Step 4: Simplify right side
    87.81x = 15,082.91
  5. Step 5: Solve for x
    x = 15,082.91/87.81
  6. Step 6: Final answer
    x = 171.76

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.