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Finding the Third Proportional to 51,279.75 and 110,760.75

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Solution

The third proportional to 51,279.75 and 110,760.75 is: 239,235.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,279.75 : 110,760.75 = 110,760.75 : x
  2. Step 2: Convert to fraction form
    51,279.75/110,760.75 = 110,760.75/x
  3. Step 3: Cross multiply
    51,279.75x = 110,760.75 × 110,760.75
  4. Step 4: Simplify right side
    51,279.75x = 12,267,943,740.56
  5. Step 5: Solve for x
    x = 12,267,943,740.56/51,279.75
  6. Step 6: Final answer
    x = 239,235.64

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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.