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Finding the Third Proportional to 87,414 and 188,652

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Solution

The third proportional to 87,414 and 188,652 is: 407,138.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,414 : 188,652 = 188,652 : x
  2. Step 2: Convert to fraction form
    87,414/188,652 = 188,652/x
  3. Step 3: Cross multiply
    87,414x = 188,652 × 188,652
  4. Step 4: Simplify right side
    87,414x = 35,589,577,104
  5. Step 5: Solve for x
    x = 35,589,577,104/87,414
  6. Step 6: Final answer
    x = 407,138.18

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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.