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Finding the Third Proportional to 54.82 and 118.89

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Solution

The third proportional to 54.82 and 118.89 is: 257.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.82 : 118.89 = 118.89 : x
  2. Step 2: Convert to fraction form
    54.82/118.89 = 118.89/x
  3. Step 3: Cross multiply
    54.82x = 118.89 × 118.89
  4. Step 4: Simplify right side
    54.82x = 14,134.75
  5. Step 5: Solve for x
    x = 14,134.75/54.82
  6. Step 6: Final answer
    x = 257.85

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.