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Finding the Third Proportional to 81,891 and 178,605

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Solution

The third proportional to 81,891 and 178,605 is: 389,539.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,891 : 178,605 = 178,605 : x
  2. Step 2: Convert to fraction form
    81,891/178,605 = 178,605/x
  3. Step 3: Cross multiply
    81,891x = 178,605 × 178,605
  4. Step 4: Simplify right side
    81,891x = 31,899,746,025
  5. Step 5: Solve for x
    x = 31,899,746,025/81,891
  6. Step 6: Final answer
    x = 389,539.09

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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.