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Finding the Third Proportional to 82.92 and 115.27

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Solution

The third proportional to 82.92 and 115.27 is: 160.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.92 : 115.27 = 115.27 : x
  2. Step 2: Convert to fraction form
    82.92/115.27 = 115.27/x
  3. Step 3: Cross multiply
    82.92x = 115.27 × 115.27
  4. Step 4: Simplify right side
    82.92x = 13,286.16
  5. Step 5: Solve for x
    x = 13,286.16/82.92
  6. Step 6: Final answer
    x = 160.23

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.