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Finding the Third Proportional to 40,459 and 82,525

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Solution

The third proportional to 40,459 and 82,525 is: 168,327.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,459 : 82,525 = 82,525 : x
  2. Step 2: Convert to fraction form
    40,459/82,525 = 82,525/x
  3. Step 3: Cross multiply
    40,459x = 82,525 × 82,525
  4. Step 4: Simplify right side
    40,459x = 6,810,375,625
  5. Step 5: Solve for x
    x = 6,810,375,625/40,459
  6. Step 6: Final answer
    x = 168,327.83

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.