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Finding the Third Proportional to 55.22 and 118.83

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Solution

The third proportional to 55.22 and 118.83 is: 255.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    55.22 : 118.83 = 118.83 : x
  2. Step 2: Convert to fraction form
    55.22/118.83 = 118.83/x
  3. Step 3: Cross multiply
    55.22x = 118.83 × 118.83
  4. Step 4: Simplify right side
    55.22x = 14,120.12
  5. Step 5: Solve for x
    x = 14,120.12/55.22
  6. Step 6: Final answer
    x = 255.71

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.