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Finding the Third Proportional to 128,839 and 192,661

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Solution

The third proportional to 128,839 and 192,661 is: 288,098.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,839 : 192,661 = 192,661 : x
  2. Step 2: Convert to fraction form
    128,839/192,661 = 192,661/x
  3. Step 3: Cross multiply
    128,839x = 192,661 × 192,661
  4. Step 4: Simplify right side
    128,839x = 37,118,260,921
  5. Step 5: Solve for x
    x = 37,118,260,921/128,839
  6. Step 6: Final answer
    x = 288,098.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.