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Finding the Third Proportional to 121,793 and 182,193

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Solution

The third proportional to 121,793 and 182,193 is: 272,546.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,793 : 182,193 = 182,193 : x
  2. Step 2: Convert to fraction form
    121,793/182,193 = 182,193/x
  3. Step 3: Cross multiply
    121,793x = 182,193 × 182,193
  4. Step 4: Simplify right side
    121,793x = 33,194,289,249
  5. Step 5: Solve for x
    x = 33,194,289,249/121,793
  6. Step 6: Final answer
    x = 272,546.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.