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Finding the Third Proportional to 126,250 and 189,701

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Solution

The third proportional to 126,250 and 189,701 is: 285,041.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,250 : 189,701 = 189,701 : x
  2. Step 2: Convert to fraction form
    126,250/189,701 = 189,701/x
  3. Step 3: Cross multiply
    126,250x = 189,701 × 189,701
  4. Step 4: Simplify right side
    126,250x = 35,986,469,401
  5. Step 5: Solve for x
    x = 35,986,469,401/126,250
  6. Step 6: Final answer
    x = 285,041.34

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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.