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Finding the Third Proportional to 54.14 and 118.97

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Solution

The third proportional to 54.14 and 118.97 is: 261.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.14 : 118.97 = 118.97 : x
  2. Step 2: Convert to fraction form
    54.14/118.97 = 118.97/x
  3. Step 3: Cross multiply
    54.14x = 118.97 × 118.97
  4. Step 4: Simplify right side
    54.14x = 14,153.56
  5. Step 5: Solve for x
    x = 14,153.56/54.14
  6. Step 6: Final answer
    x = 261.42

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.