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Finding the Third Proportional to 63.56 and 149.73

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Solution

The third proportional to 63.56 and 149.73 is: 352.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    63.56 : 149.73 = 149.73 : x
  2. Step 2: Convert to fraction form
    63.56/149.73 = 149.73/x
  3. Step 3: Cross multiply
    63.56x = 149.73 × 149.73
  4. Step 4: Simplify right side
    63.56x = 22,419.21
  5. Step 5: Solve for x
    x = 22,419.21/63.56
  6. Step 6: Final answer
    x = 352.71

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.