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Finding the Third Proportional to 83,296 and 182,126

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Solution

The third proportional to 83,296 and 182,126 is: 398,216.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,296 : 182,126 = 182,126 : x
  2. Step 2: Convert to fraction form
    83,296/182,126 = 182,126/x
  3. Step 3: Cross multiply
    83,296x = 182,126 × 182,126
  4. Step 4: Simplify right side
    83,296x = 33,169,879,876
  5. Step 5: Solve for x
    x = 33,169,879,876/83,296
  6. Step 6: Final answer
    x = 398,216.96

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.