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Finding the Third Proportional to 50.69 and 104.97

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Solution

The third proportional to 50.69 and 104.97 is: 217.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    50.69 : 104.97 = 104.97 : x
  2. Step 2: Convert to fraction form
    50.69/104.97 = 104.97/x
  3. Step 3: Cross multiply
    50.69x = 104.97 × 104.97
  4. Step 4: Simplify right side
    50.69x = 11,018.44
  5. Step 5: Solve for x
    x = 11,018.44/50.69
  6. Step 6: Final answer
    x = 217.38

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.