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Finding the Third Proportional to 57,890 and 87,449

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Solution

The third proportional to 57,890 and 87,449 is: 132,101.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,890 : 87,449 = 87,449 : x
  2. Step 2: Convert to fraction form
    57,890/87,449 = 87,449/x
  3. Step 3: Cross multiply
    57,890x = 87,449 × 87,449
  4. Step 4: Simplify right side
    57,890x = 7,647,327,601
  5. Step 5: Solve for x
    x = 7,647,327,601/57,890
  6. Step 6: Final answer
    x = 132,101.01

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.