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Finding the Third Proportional to 126,769 and 189,757

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Solution

The third proportional to 126,769 and 189,757 is: 284,041.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,769 : 189,757 = 189,757 : x
  2. Step 2: Convert to fraction form
    126,769/189,757 = 189,757/x
  3. Step 3: Cross multiply
    126,769x = 189,757 × 189,757
  4. Step 4: Simplify right side
    126,769x = 36,007,719,049
  5. Step 5: Solve for x
    x = 36,007,719,049/126,769
  6. Step 6: Final answer
    x = 284,041.99

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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.