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Finding the Third Proportional to 80.05 and 171.18

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Solution

The third proportional to 80.05 and 171.18 is: 366.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.05 : 171.18 = 171.18 : x
  2. Step 2: Convert to fraction form
    80.05/171.18 = 171.18/x
  3. Step 3: Cross multiply
    80.05x = 171.18 × 171.18
  4. Step 4: Simplify right side
    80.05x = 29,301.15
  5. Step 5: Solve for x
    x = 29,301.15/80.05
  6. Step 6: Final answer
    x = 366.03

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.