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Finding the Third Proportional to 81,606 and 173,013

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Solution

The third proportional to 81,606 and 173,013 is: 366,805.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,606 : 173,013 = 173,013 : x
  2. Step 2: Convert to fraction form
    81,606/173,013 = 173,013/x
  3. Step 3: Cross multiply
    81,606x = 173,013 × 173,013
  4. Step 4: Simplify right side
    81,606x = 29,933,498,169
  5. Step 5: Solve for x
    x = 29,933,498,169/81,606
  6. Step 6: Final answer
    x = 366,805.11

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.