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Finding the Third Proportional to 57,081 and 89,540

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Solution

The third proportional to 57,081 and 89,540 is: 140,456.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,081 : 89,540 = 89,540 : x
  2. Step 2: Convert to fraction form
    57,081/89,540 = 89,540/x
  3. Step 3: Cross multiply
    57,081x = 89,540 × 89,540
  4. Step 4: Simplify right side
    57,081x = 8,017,411,600
  5. Step 5: Solve for x
    x = 8,017,411,600/57,081
  6. Step 6: Final answer
    x = 140,456.75

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.