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Finding the Third Proportional to 57,859 and 120,325

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Solution

The third proportional to 57,859 and 120,325 is: 250,230.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,859 : 120,325 = 120,325 : x
  2. Step 2: Convert to fraction form
    57,859/120,325 = 120,325/x
  3. Step 3: Cross multiply
    57,859x = 120,325 × 120,325
  4. Step 4: Simplify right side
    57,859x = 14,478,105,625
  5. Step 5: Solve for x
    x = 14,478,105,625/57,859
  6. Step 6: Final answer
    x = 250,230.83

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.