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Finding the Third Proportional to 79,542 and 173,286

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Solution

The third proportional to 79,542 and 173,286 is: 377,511.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,542 : 173,286 = 173,286 : x
  2. Step 2: Convert to fraction form
    79,542/173,286 = 173,286/x
  3. Step 3: Cross multiply
    79,542x = 173,286 × 173,286
  4. Step 4: Simplify right side
    79,542x = 30,028,037,796
  5. Step 5: Solve for x
    x = 30,028,037,796/79,542
  6. Step 6: Final answer
    x = 377,511.73

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.