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Finding the Third Proportional to 126,360 and 189,864

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Solution

The third proportional to 126,360 and 189,864 is: 285,282.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,360 : 189,864 = 189,864 : x
  2. Step 2: Convert to fraction form
    126,360/189,864 = 189,864/x
  3. Step 3: Cross multiply
    126,360x = 189,864 × 189,864
  4. Step 4: Simplify right side
    126,360x = 36,048,338,496
  5. Step 5: Solve for x
    x = 36,048,338,496/126,360
  6. Step 6: Final answer
    x = 285,282.83

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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.