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Finding the Third Proportional to 87,589 and 192,673

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Solution

The third proportional to 87,589 and 192,673 is: 423,830.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,589 : 192,673 = 192,673 : x
  2. Step 2: Convert to fraction form
    87,589/192,673 = 192,673/x
  3. Step 3: Cross multiply
    87,589x = 192,673 × 192,673
  4. Step 4: Simplify right side
    87,589x = 37,122,884,929
  5. Step 5: Solve for x
    x = 37,122,884,929/87,589
  6. Step 6: Final answer
    x = 423,830.45

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.