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Finding the Third Proportional to 57,084 and 87,849

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Solution

The third proportional to 57,084 and 87,849 is: 135,194.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,084 : 87,849 = 87,849 : x
  2. Step 2: Convert to fraction form
    57,084/87,849 = 87,849/x
  3. Step 3: Cross multiply
    57,084x = 87,849 × 87,849
  4. Step 4: Simplify right side
    57,084x = 7,717,446,801
  5. Step 5: Solve for x
    x = 7,717,446,801/57,084
  6. Step 6: Final answer
    x = 135,194.57

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.