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Finding the Third Proportional to 57,092 and 120,339

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Solution

The third proportional to 57,092 and 120,339 is: 253,651.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,092 : 120,339 = 120,339 : x
  2. Step 2: Convert to fraction form
    57,092/120,339 = 120,339/x
  3. Step 3: Cross multiply
    57,092x = 120,339 × 120,339
  4. Step 4: Simplify right side
    57,092x = 14,481,474,921
  5. Step 5: Solve for x
    x = 14,481,474,921/57,092
  6. Step 6: Final answer
    x = 253,651.56

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.