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Finding the Third Proportional to 87,104 and 188,960

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Solution

The third proportional to 87,104 and 188,960 is: 409,922.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,104 : 188,960 = 188,960 : x
  2. Step 2: Convert to fraction form
    87,104/188,960 = 188,960/x
  3. Step 3: Cross multiply
    87,104x = 188,960 × 188,960
  4. Step 4: Simplify right side
    87,104x = 35,705,881,600
  5. Step 5: Solve for x
    x = 35,705,881,600/87,104
  6. Step 6: Final answer
    x = 409,922.41

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.