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Finding the Third Proportional to 129,474 and 193,671

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Solution

The third proportional to 129,474 and 193,671 is: 289,698.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,474 : 193,671 = 193,671 : x
  2. Step 2: Convert to fraction form
    129,474/193,671 = 193,671/x
  3. Step 3: Cross multiply
    129,474x = 193,671 × 193,671
  4. Step 4: Simplify right side
    129,474x = 37,508,456,241
  5. Step 5: Solve for x
    x = 37,508,456,241/129,474
  6. Step 6: Final answer
    x = 289,698.75

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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.