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Finding the Third Proportional to 57,325 and 86,853

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Solution

The third proportional to 57,325 and 86,853 is: 131,590.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,325 : 86,853 = 86,853 : x
  2. Step 2: Convert to fraction form
    57,325/86,853 = 86,853/x
  3. Step 3: Cross multiply
    57,325x = 86,853 × 86,853
  4. Step 4: Simplify right side
    57,325x = 7,543,443,609
  5. Step 5: Solve for x
    x = 7,543,443,609/57,325
  6. Step 6: Final answer
    x = 131,590.82

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.