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Finding the Third Proportional to 126,741 and 189,732

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Solution

The third proportional to 126,741 and 189,732 is: 284,029.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,741 : 189,732 = 189,732 : x
  2. Step 2: Convert to fraction form
    126,741/189,732 = 189,732/x
  3. Step 3: Cross multiply
    126,741x = 189,732 × 189,732
  4. Step 4: Simplify right side
    126,741x = 35,998,231,824
  5. Step 5: Solve for x
    x = 35,998,231,824/126,741
  6. Step 6: Final answer
    x = 284,029.89

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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.