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Finding the Third Proportional to 55.50 and 118.31

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Solution

The third proportional to 55.50 and 118.31 is: 252.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    55.50 : 118.31 = 118.31 : x
  2. Step 2: Convert to fraction form
    55.50/118.31 = 118.31/x
  3. Step 3: Cross multiply
    55.50x = 118.31 × 118.31
  4. Step 4: Simplify right side
    55.50x = 13,997.85
  5. Step 5: Solve for x
    x = 13,997.85/55.50
  6. Step 6: Final answer
    x = 252.21

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.