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Finding the Third Proportional to 87,471 and 188,766

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Solution

The third proportional to 87,471 and 188,766 is: 407,364.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,471 : 188,766 = 188,766 : x
  2. Step 2: Convert to fraction form
    87,471/188,766 = 188,766/x
  3. Step 3: Cross multiply
    87,471x = 188,766 × 188,766
  4. Step 4: Simplify right side
    87,471x = 35,632,602,756
  5. Step 5: Solve for x
    x = 35,632,602,756/87,471
  6. Step 6: Final answer
    x = 407,364.76

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.