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Finding the Third Proportional to 87,460 and 188,744

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Solution

The third proportional to 87,460 and 188,744 is: 407,321.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,460 : 188,744 = 188,744 : x
  2. Step 2: Convert to fraction form
    87,460/188,744 = 188,744/x
  3. Step 3: Cross multiply
    87,460x = 188,744 × 188,744
  4. Step 4: Simplify right side
    87,460x = 35,624,297,536
  5. Step 5: Solve for x
    x = 35,624,297,536/87,460
  6. Step 6: Final answer
    x = 407,321.03

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Why These Related Problems?

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