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Finding the Third Proportional to 87,792 and 193,088

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Solution

The third proportional to 87,792 and 193,088 is: 424,673.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,792 : 193,088 = 193,088 : x
  2. Step 2: Convert to fraction form
    87,792/193,088 = 193,088/x
  3. Step 3: Cross multiply
    87,792x = 193,088 × 193,088
  4. Step 4: Simplify right side
    87,792x = 37,282,975,744
  5. Step 5: Solve for x
    x = 37,282,975,744/87,792
  6. Step 6: Final answer
    x = 424,673.95

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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.