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Finding the Third Proportional to 50.69 and 108.09

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Solution

The third proportional to 50.69 and 108.09 is: 230.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    50.69 : 108.09 = 108.09 : x
  2. Step 2: Convert to fraction form
    50.69/108.09 = 108.09/x
  3. Step 3: Cross multiply
    50.69x = 108.09 × 108.09
  4. Step 4: Simplify right side
    50.69x = 11,684.26
  5. Step 5: Solve for x
    x = 11,684.26/50.69
  6. Step 6: Final answer
    x = 230.52

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.