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Finding the Third Proportional to 51,714 and 80,067

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Solution

The third proportional to 51,714 and 80,067 is: 123,964.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,714 : 80,067 = 80,067 : x
  2. Step 2: Convert to fraction form
    51,714/80,067 = 80,067/x
  3. Step 3: Cross multiply
    51,714x = 80,067 × 80,067
  4. Step 4: Simplify right side
    51,714x = 6,410,724,489
  5. Step 5: Solve for x
    x = 6,410,724,489/51,714
  6. Step 6: Final answer
    x = 123,964.97

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.