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Finding the Third Proportional to 88,138 and 182,204

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Solution

The third proportional to 88,138 and 182,204 is: 376,662.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,138 : 182,204 = 182,204 : x
  2. Step 2: Convert to fraction form
    88,138/182,204 = 182,204/x
  3. Step 3: Cross multiply
    88,138x = 182,204 × 182,204
  4. Step 4: Simplify right side
    88,138x = 33,198,297,616
  5. Step 5: Solve for x
    x = 33,198,297,616/88,138
  6. Step 6: Final answer
    x = 376,662.71

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.