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Finding the Third Proportional to 79,982 and 171,601

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Solution

The third proportional to 79,982 and 171,601 is: 368,169.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,982 : 171,601 = 171,601 : x
  2. Step 2: Convert to fraction form
    79,982/171,601 = 171,601/x
  3. Step 3: Cross multiply
    79,982x = 171,601 × 171,601
  4. Step 4: Simplify right side
    79,982x = 29,446,903,201
  5. Step 5: Solve for x
    x = 29,446,903,201/79,982
  6. Step 6: Final answer
    x = 368,169.13

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.