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Finding the Third Proportional to 40,982 and 88,525

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Solution

The third proportional to 40,982 and 88,525 is: 191,222.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,982 : 88,525 = 88,525 : x
  2. Step 2: Convert to fraction form
    40,982/88,525 = 88,525/x
  3. Step 3: Cross multiply
    40,982x = 88,525 × 88,525
  4. Step 4: Simplify right side
    40,982x = 7,836,675,625
  5. Step 5: Solve for x
    x = 7,836,675,625/40,982
  6. Step 6: Final answer
    x = 191,222.38

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.