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Finding the Third Proportional to 126,234 and 189,675

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Solution

The third proportional to 126,234 and 189,675 is: 284,999.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,234 : 189,675 = 189,675 : x
  2. Step 2: Convert to fraction form
    126,234/189,675 = 189,675/x
  3. Step 3: Cross multiply
    126,234x = 189,675 × 189,675
  4. Step 4: Simplify right side
    126,234x = 35,976,605,625
  5. Step 5: Solve for x
    x = 35,976,605,625/126,234
  6. Step 6: Final answer
    x = 284,999.33

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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.