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Finding the Third Proportional to 87,706 and 192,905

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Solution

The third proportional to 87,706 and 192,905 is: 424,284.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,706 : 192,905 = 192,905 : x
  2. Step 2: Convert to fraction form
    87,706/192,905 = 192,905/x
  3. Step 3: Cross multiply
    87,706x = 192,905 × 192,905
  4. Step 4: Simplify right side
    87,706x = 37,212,339,025
  5. Step 5: Solve for x
    x = 37,212,339,025/87,706
  6. Step 6: Final answer
    x = 424,284.99

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