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Finding the Third Proportional to 110.11 and 165.16

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Solution

The third proportional to 110.11 and 165.16 is: 247.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.11 : 165.16 = 165.16 : x
  2. Step 2: Convert to fraction form
    110.11/165.16 = 165.16/x
  3. Step 3: Cross multiply
    110.11x = 165.16 × 165.16
  4. Step 4: Simplify right side
    110.11x = 27,279.17
  5. Step 5: Solve for x
    x = 27,279.17/110.11
  6. Step 6: Final answer
    x = 247.75

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