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Finding the Third Proportional to 50.66 and 112.72

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Solution

The third proportional to 50.66 and 112.72 is: 250.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    50.66 : 112.72 = 112.72 : x
  2. Step 2: Convert to fraction form
    50.66/112.72 = 112.72/x
  3. Step 3: Cross multiply
    50.66x = 112.72 × 112.72
  4. Step 4: Simplify right side
    50.66x = 12,705.52
  5. Step 5: Solve for x
    x = 12,705.52/50.66
  6. Step 6: Final answer
    x = 250.82

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.