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Finding the Third Proportional to 67,344 and 100,600

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Solution

The third proportional to 67,344 and 100,600 is: 150,278.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,344 : 100,600 = 100,600 : x
  2. Step 2: Convert to fraction form
    67,344/100,600 = 100,600/x
  3. Step 3: Cross multiply
    67,344x = 100,600 × 100,600
  4. Step 4: Simplify right side
    67,344x = 10,120,360,000
  5. Step 5: Solve for x
    x = 10,120,360,000/67,344
  6. Step 6: Final answer
    x = 150,278.57

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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.