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Finding the Third Proportional to 88,792 and 192,164

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Solution

The third proportional to 88,792 and 192,164 is: 415,882.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,792 : 192,164 = 192,164 : x
  2. Step 2: Convert to fraction form
    88,792/192,164 = 192,164/x
  3. Step 3: Cross multiply
    88,792x = 192,164 × 192,164
  4. Step 4: Simplify right side
    88,792x = 36,927,002,896
  5. Step 5: Solve for x
    x = 36,927,002,896/88,792
  6. Step 6: Final answer
    x = 415,882.09

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.