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Finding the Third Proportional to 51.73 and 120.79

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Solution

The third proportional to 51.73 and 120.79 is: 282.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.73 : 120.79 = 120.79 : x
  2. Step 2: Convert to fraction form
    51.73/120.79 = 120.79/x
  3. Step 3: Cross multiply
    51.73x = 120.79 × 120.79
  4. Step 4: Simplify right side
    51.73x = 14,589.76
  5. Step 5: Solve for x
    x = 14,589.76/51.73
  6. Step 6: Final answer
    x = 282.02

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.