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Finding the Third Proportional to 110.69 and 163.97

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Solution

The third proportional to 110.69 and 163.97 is: 242.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.69 : 163.97 = 163.97 : x
  2. Step 2: Convert to fraction form
    110.69/163.97 = 163.97/x
  3. Step 3: Cross multiply
    110.69x = 163.97 × 163.97
  4. Step 4: Simplify right side
    110.69x = 26,885.75
  5. Step 5: Solve for x
    x = 26,885.75/110.69
  6. Step 6: Final answer
    x = 242.90

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.