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Finding the Third Proportional to 126,822 and 189,825

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Solution

The third proportional to 126,822 and 189,825 is: 284,126.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,822 : 189,825 = 189,825 : x
  2. Step 2: Convert to fraction form
    126,822/189,825 = 189,825/x
  3. Step 3: Cross multiply
    126,822x = 189,825 × 189,825
  4. Step 4: Simplify right side
    126,822x = 36,033,530,625
  5. Step 5: Solve for x
    x = 36,033,530,625/126,822
  6. Step 6: Final answer
    x = 284,126.81

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