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Finding the Third Proportional to 88,574 and 192,698

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Solution

The third proportional to 88,574 and 192,698 is: 419,225.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,574 : 192,698 = 192,698 : x
  2. Step 2: Convert to fraction form
    88,574/192,698 = 192,698/x
  3. Step 3: Cross multiply
    88,574x = 192,698 × 192,698
  4. Step 4: Simplify right side
    88,574x = 37,132,519,204
  5. Step 5: Solve for x
    x = 37,132,519,204/88,574
  6. Step 6: Final answer
    x = 419,225.95

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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.