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Finding the Third Proportional to 126,612 and 187,966

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Solution

The third proportional to 126,612 and 187,966 is: 279,051.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,612 : 187,966 = 187,966 : x
  2. Step 2: Convert to fraction form
    126,612/187,966 = 187,966/x
  3. Step 3: Cross multiply
    126,612x = 187,966 × 187,966
  4. Step 4: Simplify right side
    126,612x = 35,331,217,156
  5. Step 5: Solve for x
    x = 35,331,217,156/126,612
  6. Step 6: Final answer
    x = 279,051.09

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.