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Finding the Third Proportional to 81.16 and 121.74

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Solution

The third proportional to 81.16 and 121.74 is: 182.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    81.16 : 121.74 = 121.74 : x
  2. Step 2: Convert to fraction form
    81.16/121.74 = 121.74/x
  3. Step 3: Cross multiply
    81.16x = 121.74 × 121.74
  4. Step 4: Simplify right side
    81.16x = 14,819.97
  5. Step 5: Solve for x
    x = 14,819.97/81.16
  6. Step 6: Final answer
    x = 182.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.