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Finding the Third Proportional to 57,834 and 120,285

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Solution

The third proportional to 57,834 and 120,285 is: 250,172.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,834 : 120,285 = 120,285 : x
  2. Step 2: Convert to fraction form
    57,834/120,285 = 120,285/x
  3. Step 3: Cross multiply
    57,834x = 120,285 × 120,285
  4. Step 4: Simplify right side
    57,834x = 14,468,481,225
  5. Step 5: Solve for x
    x = 14,468,481,225/57,834
  6. Step 6: Final answer
    x = 250,172.58

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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.