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Finding the Third Proportional to 120,134 and 188,449

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Solution

The third proportional to 120,134 and 188,449 is: 295,611.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,134 : 188,449 = 188,449 : x
  2. Step 2: Convert to fraction form
    120,134/188,449 = 188,449/x
  3. Step 3: Cross multiply
    120,134x = 188,449 × 188,449
  4. Step 4: Simplify right side
    120,134x = 35,513,025,601
  5. Step 5: Solve for x
    x = 35,513,025,601/120,134
  6. Step 6: Final answer
    x = 295,611.78

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.