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Finding the Third Proportional to 51.92 and 112.98

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Solution

The third proportional to 51.92 and 112.98 is: 245.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.92 : 112.98 = 112.98 : x
  2. Step 2: Convert to fraction form
    51.92/112.98 = 112.98/x
  3. Step 3: Cross multiply
    51.92x = 112.98 × 112.98
  4. Step 4: Simplify right side
    51.92x = 12,765.25
  5. Step 5: Solve for x
    x = 12,765.25/51.92
  6. Step 6: Final answer
    x = 245.88

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.