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Finding the Third Proportional to 55.25 and 82.88

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Solution

The third proportional to 55.25 and 82.88 is: 124.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    55.25 : 82.88 = 82.88 : x
  2. Step 2: Convert to fraction form
    55.25/82.88 = 82.88/x
  3. Step 3: Cross multiply
    55.25x = 82.88 × 82.88
  4. Step 4: Simplify right side
    55.25x = 6,868.27
  5. Step 5: Solve for x
    x = 6,868.27/55.25
  6. Step 6: Final answer
    x = 124.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.