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Finding the Third Proportional to 126,162 and 189,780

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Solution

The third proportional to 126,162 and 189,780 is: 285,477.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,162 : 189,780 = 189,780 : x
  2. Step 2: Convert to fraction form
    126,162/189,780 = 189,780/x
  3. Step 3: Cross multiply
    126,162x = 189,780 × 189,780
  4. Step 4: Simplify right side
    126,162x = 36,016,448,400
  5. Step 5: Solve for x
    x = 36,016,448,400/126,162
  6. Step 6: Final answer
    x = 285,477.79

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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.