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Finding the Third Proportional to 83,201.50 and 179,525

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Solution

The third proportional to 83,201.50 and 179,525 is: 387,363.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,201.50 : 179,525 = 179,525 : x
  2. Step 2: Convert to fraction form
    83,201.50/179,525 = 179,525/x
  3. Step 3: Cross multiply
    83,201.50x = 179,525 × 179,525
  4. Step 4: Simplify right side
    83,201.50x = 32,229,225,625
  5. Step 5: Solve for x
    x = 32,229,225,625/83,201.50
  6. Step 6: Final answer
    x = 387,363.52

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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.