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Finding the Third Proportional to 54,204 and 86,325

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Solution

The third proportional to 54,204 and 86,325 is: 137,480.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,204 : 86,325 = 86,325 : x
  2. Step 2: Convert to fraction form
    54,204/86,325 = 86,325/x
  3. Step 3: Cross multiply
    54,204x = 86,325 × 86,325
  4. Step 4: Simplify right side
    54,204x = 7,452,005,625
  5. Step 5: Solve for x
    x = 7,452,005,625/54,204
  6. Step 6: Final answer
    x = 137,480.73

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.