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Finding the Third Proportional to 88,620 and 192,792

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Solution

The third proportional to 88,620 and 192,792 is: 419,417.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,620 : 192,792 = 192,792 : x
  2. Step 2: Convert to fraction form
    88,620/192,792 = 192,792/x
  3. Step 3: Cross multiply
    88,620x = 192,792 × 192,792
  4. Step 4: Simplify right side
    88,620x = 37,168,755,264
  5. Step 5: Solve for x
    x = 37,168,755,264/88,620
  6. Step 6: Final answer
    x = 419,417.23

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.