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Finding the Third Proportional to 67,180 and 100,419

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Solution

The third proportional to 67,180 and 100,419 is: 150,103.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,180 : 100,419 = 100,419 : x
  2. Step 2: Convert to fraction form
    67,180/100,419 = 100,419/x
  3. Step 3: Cross multiply
    67,180x = 100,419 × 100,419
  4. Step 4: Simplify right side
    67,180x = 10,083,975,561
  5. Step 5: Solve for x
    x = 10,083,975,561/67,180
  6. Step 6: Final answer
    x = 150,103.83

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.