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Finding the Third Proportional to 57,853 and 120,314

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Solution

The third proportional to 57,853 and 120,314 is: 250,211.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,853 : 120,314 = 120,314 : x
  2. Step 2: Convert to fraction form
    57,853/120,314 = 120,314/x
  3. Step 3: Cross multiply
    57,853x = 120,314 × 120,314
  4. Step 4: Simplify right side
    57,853x = 14,475,458,596
  5. Step 5: Solve for x
    x = 14,475,458,596/57,853
  6. Step 6: Final answer
    x = 250,211.03

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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.