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Finding the Third Proportional to 81,352 and 149,204

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Solution

The third proportional to 81,352 and 149,204 is: 273,648.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,352 : 149,204 = 149,204 : x
  2. Step 2: Convert to fraction form
    81,352/149,204 = 149,204/x
  3. Step 3: Cross multiply
    81,352x = 149,204 × 149,204
  4. Step 4: Simplify right side
    81,352x = 22,261,833,616
  5. Step 5: Solve for x
    x = 22,261,833,616/81,352
  6. Step 6: Final answer
    x = 273,648.26

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Why These Related Problems?

These problems maintain the same ratio (1.83) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.