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Finding the Third Proportional to 134.06 and 171.56

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Solution

The third proportional to 134.06 and 171.56 is: 219.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    134.06 : 171.56 = 171.56 : x
  2. Step 2: Convert to fraction form
    134.06/171.56 = 171.56/x
  3. Step 3: Cross multiply
    134.06x = 171.56 × 171.56
  4. Step 4: Simplify right side
    134.06x = 29,433.69
  5. Step 5: Solve for x
    x = 29,433.69/134.06
  6. Step 6: Final answer
    x = 219.55

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These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.