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Finding the Third Proportional to 67,034 and 132,376

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Solution

The third proportional to 67,034 and 132,376 is: 261,410.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,034 : 132,376 = 132,376 : x
  2. Step 2: Convert to fraction form
    67,034/132,376 = 132,376/x
  3. Step 3: Cross multiply
    67,034x = 132,376 × 132,376
  4. Step 4: Simplify right side
    67,034x = 17,523,405,376
  5. Step 5: Solve for x
    x = 17,523,405,376/67,034
  6. Step 6: Final answer
    x = 261,410.71

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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.