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Finding the Third Proportional to 110.06 and 171.09

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Solution

The third proportional to 110.06 and 171.09 is: 265.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.06 : 171.09 = 171.09 : x
  2. Step 2: Convert to fraction form
    110.06/171.09 = 171.09/x
  3. Step 3: Cross multiply
    110.06x = 171.09 × 171.09
  4. Step 4: Simplify right side
    110.06x = 29,273.07
  5. Step 5: Solve for x
    x = 29,273.07/110.06
  6. Step 6: Final answer
    x = 265.97

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.