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Finding the Third Proportional to 83,083 and 181,204

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Solution

The third proportional to 83,083 and 181,204 is: 395,205.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,083 : 181,204 = 181,204 : x
  2. Step 2: Convert to fraction form
    83,083/181,204 = 181,204/x
  3. Step 3: Cross multiply
    83,083x = 181,204 × 181,204
  4. Step 4: Simplify right side
    83,083x = 32,834,889,616
  5. Step 5: Solve for x
    x = 32,834,889,616/83,083
  6. Step 6: Final answer
    x = 395,205.87

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.