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Finding the Third Proportional to 63.28 and 136.27

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Solution

The third proportional to 63.28 and 136.27 is: 293.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    63.28 : 136.27 = 136.27 : x
  2. Step 2: Convert to fraction form
    63.28/136.27 = 136.27/x
  3. Step 3: Cross multiply
    63.28x = 136.27 × 136.27
  4. Step 4: Simplify right side
    63.28x = 18,568.32
  5. Step 5: Solve for x
    x = 18,568.32/63.28
  6. Step 6: Final answer
    x = 293.43

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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.