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Finding the Third Proportional to 83,032.50 and 179,193

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Solution

The third proportional to 83,032.50 and 179,193 is: 386,717.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,032.50 : 179,193 = 179,193 : x
  2. Step 2: Convert to fraction form
    83,032.50/179,193 = 179,193/x
  3. Step 3: Cross multiply
    83,032.50x = 179,193 × 179,193
  4. Step 4: Simplify right side
    83,032.50x = 32,110,131,249
  5. Step 5: Solve for x
    x = 32,110,131,249/83,032.50
  6. Step 6: Final answer
    x = 386,717.63

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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.