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Finding the Third Proportional to 87,710 and 192,078

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Solution

The third proportional to 87,710 and 192,078 is: 420,635.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,710 : 192,078 = 192,078 : x
  2. Step 2: Convert to fraction form
    87,710/192,078 = 192,078/x
  3. Step 3: Cross multiply
    87,710x = 192,078 × 192,078
  4. Step 4: Simplify right side
    87,710x = 36,893,958,084
  5. Step 5: Solve for x
    x = 36,893,958,084/87,710
  6. Step 6: Final answer
    x = 420,635.71

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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.