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Finding the Third Proportional to 126,224 and 189,660

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Solution

The third proportional to 126,224 and 189,660 is: 284,976.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,224 : 189,660 = 189,660 : x
  2. Step 2: Convert to fraction form
    126,224/189,660 = 189,660/x
  3. Step 3: Cross multiply
    126,224x = 189,660 × 189,660
  4. Step 4: Simplify right side
    126,224x = 35,970,915,600
  5. Step 5: Solve for x
    x = 35,970,915,600/126,224
  6. Step 6: Final answer
    x = 284,976.83

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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.