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Finding the Third Proportional to 87,392 and 189,616

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Solution

The third proportional to 87,392 and 189,616 is: 411,413.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,392 : 189,616 = 189,616 : x
  2. Step 2: Convert to fraction form
    87,392/189,616 = 189,616/x
  3. Step 3: Cross multiply
    87,392x = 189,616 × 189,616
  4. Step 4: Simplify right side
    87,392x = 35,954,227,456
  5. Step 5: Solve for x
    x = 35,954,227,456/87,392
  6. Step 6: Final answer
    x = 411,413.26

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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.