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Finding the Third Proportional to 59,318 and 80,067

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Solution

The third proportional to 59,318 and 80,067 is: 108,073.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,318 : 80,067 = 80,067 : x
  2. Step 2: Convert to fraction form
    59,318/80,067 = 80,067/x
  3. Step 3: Cross multiply
    59,318x = 80,067 × 80,067
  4. Step 4: Simplify right side
    59,318x = 6,410,724,489
  5. Step 5: Solve for x
    x = 6,410,724,489/59,318
  6. Step 6: Final answer
    x = 108,073.85

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.