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Finding the Third Proportional to 63.69 and 138.22

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Solution

The third proportional to 63.69 and 138.22 is: 299.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    63.69 : 138.22 = 138.22 : x
  2. Step 2: Convert to fraction form
    63.69/138.22 = 138.22/x
  3. Step 3: Cross multiply
    63.69x = 138.22 × 138.22
  4. Step 4: Simplify right side
    63.69x = 19,104.42
  5. Step 5: Solve for x
    x = 19,104.42/63.69
  6. Step 6: Final answer
    x = 299.97

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.