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Finding the Third Proportional to 50.34 and 108.91

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Solution

The third proportional to 50.34 and 108.91 is: 235.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    50.34 : 108.91 = 108.91 : x
  2. Step 2: Convert to fraction form
    50.34/108.91 = 108.91/x
  3. Step 3: Cross multiply
    50.34x = 108.91 × 108.91
  4. Step 4: Simplify right side
    50.34x = 11,862.27
  5. Step 5: Solve for x
    x = 11,862.27/50.34
  6. Step 6: Final answer
    x = 235.63

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.