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Finding the Third Proportional to 57,260.75 and 89,163

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Solution

The third proportional to 57,260.75 and 89,163 is: 138,839.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,260.75 : 89,163 = 89,163 : x
  2. Step 2: Convert to fraction form
    57,260.75/89,163 = 89,163/x
  3. Step 3: Cross multiply
    57,260.75x = 89,163 × 89,163
  4. Step 4: Simplify right side
    57,260.75x = 7,950,040,569
  5. Step 5: Solve for x
    x = 7,950,040,569/57,260.75
  6. Step 6: Final answer
    x = 138,839.27

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.