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Finding the Third Proportional to 87,700 and 192,895

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Solution

The third proportional to 87,700 and 192,895 is: 424,270.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,700 : 192,895 = 192,895 : x
  2. Step 2: Convert to fraction form
    87,700/192,895 = 192,895/x
  3. Step 3: Cross multiply
    87,700x = 192,895 × 192,895
  4. Step 4: Simplify right side
    87,700x = 37,208,481,025
  5. Step 5: Solve for x
    x = 37,208,481,025/87,700
  6. Step 6: Final answer
    x = 424,270.02

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.