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Finding the Third Proportional to 87,584 and 192,662

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Solution

The third proportional to 87,584 and 192,662 is: 423,806.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,584 : 192,662 = 192,662 : x
  2. Step 2: Convert to fraction form
    87,584/192,662 = 192,662/x
  3. Step 3: Cross multiply
    87,584x = 192,662 × 192,662
  4. Step 4: Simplify right side
    87,584x = 37,118,646,244
  5. Step 5: Solve for x
    x = 37,118,646,244/87,584
  6. Step 6: Final answer
    x = 423,806.25

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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.