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Finding the Third Proportional to 63.69 and 137.97

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Solution

The third proportional to 63.69 and 137.97 is: 298.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    63.69 : 137.97 = 137.97 : x
  2. Step 2: Convert to fraction form
    63.69/137.97 = 137.97/x
  3. Step 3: Cross multiply
    63.69x = 137.97 × 137.97
  4. Step 4: Simplify right side
    63.69x = 19,035.38
  5. Step 5: Solve for x
    x = 19,035.38/63.69
  6. Step 6: Final answer
    x = 298.89

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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.