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Finding the Third Proportional to 45,839 and 68,325

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Solution

The third proportional to 45,839 and 68,325 is: 101,841.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,839 : 68,325 = 68,325 : x
  2. Step 2: Convert to fraction form
    45,839/68,325 = 68,325/x
  3. Step 3: Cross multiply
    45,839x = 68,325 × 68,325
  4. Step 4: Simplify right side
    45,839x = 4,668,305,625
  5. Step 5: Solve for x
    x = 4,668,305,625/45,839
  6. Step 6: Final answer
    x = 101,841.35

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.