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Finding the Third Proportional to 59,883 and 127,067

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Solution

The third proportional to 59,883 and 127,067 is: 269,626.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,883 : 127,067 = 127,067 : x
  2. Step 2: Convert to fraction form
    59,883/127,067 = 127,067/x
  3. Step 3: Cross multiply
    59,883x = 127,067 × 127,067
  4. Step 4: Simplify right side
    59,883x = 16,146,022,489
  5. Step 5: Solve for x
    x = 16,146,022,489/59,883
  6. Step 6: Final answer
    x = 269,626.15

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.