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Finding the Third Proportional to 88,571 and 192,694

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Solution

The third proportional to 88,571 and 192,694 is: 419,222.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,571 : 192,694 = 192,694 : x
  2. Step 2: Convert to fraction form
    88,571/192,694 = 192,694/x
  3. Step 3: Cross multiply
    88,571x = 192,694 × 192,694
  4. Step 4: Simplify right side
    88,571x = 37,130,977,636
  5. Step 5: Solve for x
    x = 37,130,977,636/88,571
  6. Step 6: Final answer
    x = 419,222.74

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.