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Finding the Third Proportional to 83,401 and 125,825

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Solution

The third proportional to 83,401 and 125,825 is: 189,829.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,401 : 125,825 = 125,825 : x
  2. Step 2: Convert to fraction form
    83,401/125,825 = 125,825/x
  3. Step 3: Cross multiply
    83,401x = 125,825 × 125,825
  4. Step 4: Simplify right side
    83,401x = 15,831,930,625
  5. Step 5: Solve for x
    x = 15,831,930,625/83,401
  6. Step 6: Final answer
    x = 189,829.03

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.