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Finding the Third Proportional to 81,717 and 175,947

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Solution

The third proportional to 81,717 and 175,947 is: 378,836.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,717 : 175,947 = 175,947 : x
  2. Step 2: Convert to fraction form
    81,717/175,947 = 175,947/x
  3. Step 3: Cross multiply
    81,717x = 175,947 × 175,947
  4. Step 4: Simplify right side
    81,717x = 30,957,346,809
  5. Step 5: Solve for x
    x = 30,957,346,809/81,717
  6. Step 6: Final answer
    x = 378,836.07

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