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Finding the Third Proportional to 54.07 and 85.96

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Solution

The third proportional to 54.07 and 85.96 is: 136.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.07 : 85.96 = 85.96 : x
  2. Step 2: Convert to fraction form
    54.07/85.96 = 85.96/x
  3. Step 3: Cross multiply
    54.07x = 85.96 × 85.96
  4. Step 4: Simplify right side
    54.07x = 7,388.61
  5. Step 5: Solve for x
    x = 7,388.61/54.07
  6. Step 6: Final answer
    x = 136.65

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.