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Finding the Third Proportional to 50.55 and 112.92

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Solution

The third proportional to 50.55 and 112.92 is: 252.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    50.55 : 112.92 = 112.92 : x
  2. Step 2: Convert to fraction form
    50.55/112.92 = 112.92/x
  3. Step 3: Cross multiply
    50.55x = 112.92 × 112.92
  4. Step 4: Simplify right side
    50.55x = 12,751.35
  5. Step 5: Solve for x
    x = 12,751.35/50.55
  6. Step 6: Final answer
    x = 252.23

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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.