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Finding the Third Proportional to 87,768 and 192,186

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Solution

The third proportional to 87,768 and 192,186 is: 420,830.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,768 : 192,186 = 192,186 : x
  2. Step 2: Convert to fraction form
    87,768/192,186 = 192,186/x
  3. Step 3: Cross multiply
    87,768x = 192,186 × 192,186
  4. Step 4: Simplify right side
    87,768x = 36,935,458,596
  5. Step 5: Solve for x
    x = 36,935,458,596/87,768
  6. Step 6: Final answer
    x = 420,830.58

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.