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Finding the Third Proportional to 67,001 and 100,429

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Solution

The third proportional to 67,001 and 100,429 is: 150,534.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,001 : 100,429 = 100,429 : x
  2. Step 2: Convert to fraction form
    67,001/100,429 = 100,429/x
  3. Step 3: Cross multiply
    67,001x = 100,429 × 100,429
  4. Step 4: Simplify right side
    67,001x = 10,085,984,041
  5. Step 5: Solve for x
    x = 10,085,984,041/67,001
  6. Step 6: Final answer
    x = 150,534.83

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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.