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Finding the Third Proportional to 41,578 and 79,325

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Solution

The third proportional to 41,578 and 79,325 is: 151,340.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,578 : 79,325 = 79,325 : x
  2. Step 2: Convert to fraction form
    41,578/79,325 = 79,325/x
  3. Step 3: Cross multiply
    41,578x = 79,325 × 79,325
  4. Step 4: Simplify right side
    41,578x = 6,292,455,625
  5. Step 5: Solve for x
    x = 6,292,455,625/41,578
  6. Step 6: Final answer
    x = 151,340.99

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.