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Finding the Third Proportional to 57,861 and 120,329

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Solution

The third proportional to 57,861 and 120,329 is: 250,238.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,861 : 120,329 = 120,329 : x
  2. Step 2: Convert to fraction form
    57,861/120,329 = 120,329/x
  3. Step 3: Cross multiply
    57,861x = 120,329 × 120,329
  4. Step 4: Simplify right side
    57,861x = 14,479,068,241
  5. Step 5: Solve for x
    x = 14,479,068,241/57,861
  6. Step 6: Final answer
    x = 250,238.82

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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.