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Finding the Third Proportional to 110.74 and 166.11

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Solution

The third proportional to 110.74 and 166.11 is: 249.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.74 : 166.11 = 166.11 : x
  2. Step 2: Convert to fraction form
    110.74/166.11 = 166.11/x
  3. Step 3: Cross multiply
    110.74x = 166.11 × 166.11
  4. Step 4: Simplify right side
    110.74x = 27,593.62
  5. Step 5: Solve for x
    x = 27,593.62/110.74
  6. Step 6: Final answer
    x = 249.17

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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.