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Finding the Third Proportional to 59,573 and 89,067

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Solution

The third proportional to 59,573 and 89,067 is: 133,163.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,573 : 89,067 = 89,067 : x
  2. Step 2: Convert to fraction form
    59,573/89,067 = 89,067/x
  3. Step 3: Cross multiply
    59,573x = 89,067 × 89,067
  4. Step 4: Simplify right side
    59,573x = 7,932,930,489
  5. Step 5: Solve for x
    x = 7,932,930,489/59,573
  6. Step 6: Final answer
    x = 133,163.19

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.