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Finding the Third Proportional to 125,589 and 188,665

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Solution

The third proportional to 125,589 and 188,665 is: 283,420.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,589 : 188,665 = 188,665 : x
  2. Step 2: Convert to fraction form
    125,589/188,665 = 188,665/x
  3. Step 3: Cross multiply
    125,589x = 188,665 × 188,665
  4. Step 4: Simplify right side
    125,589x = 35,594,482,225
  5. Step 5: Solve for x
    x = 35,594,482,225/125,589
  6. Step 6: Final answer
    x = 283,420.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.