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Finding the Third Proportional to 107,614 and 212,474

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Solution

The third proportional to 107,614 and 212,474 is: 419,510.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,614 : 212,474 = 212,474 : x
  2. Step 2: Convert to fraction form
    107,614/212,474 = 212,474/x
  3. Step 3: Cross multiply
    107,614x = 212,474 × 212,474
  4. Step 4: Simplify right side
    107,614x = 45,145,200,676
  5. Step 5: Solve for x
    x = 45,145,200,676/107,614
  6. Step 6: Final answer
    x = 419,510.48

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.