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Finding the Third Proportional to 126,797 and 189,799

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Solution

The third proportional to 126,797 and 189,799 is: 284,104.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,797 : 189,799 = 189,799 : x
  2. Step 2: Convert to fraction form
    126,797/189,799 = 189,799/x
  3. Step 3: Cross multiply
    126,797x = 189,799 × 189,799
  4. Step 4: Simplify right side
    126,797x = 36,023,660,401
  5. Step 5: Solve for x
    x = 36,023,660,401/126,797
  6. Step 6: Final answer
    x = 284,104.99

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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.