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Finding the Third Proportional to 81.26 and 122.24

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Solution

The third proportional to 81.26 and 122.24 is: 183.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    81.26 : 122.24 = 122.24 : x
  2. Step 2: Convert to fraction form
    81.26/122.24 = 122.24/x
  3. Step 3: Cross multiply
    81.26x = 122.24 × 122.24
  4. Step 4: Simplify right side
    81.26x = 14,942.20
  5. Step 5: Solve for x
    x = 14,942.20/81.26
  6. Step 6: Final answer
    x = 183.87

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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.