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Finding the Third Proportional to 87,680 and 181,168

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Solution

The third proportional to 87,680 and 181,168 is: 374,336.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,680 : 181,168 = 181,168 : x
  2. Step 2: Convert to fraction form
    87,680/181,168 = 181,168/x
  3. Step 3: Cross multiply
    87,680x = 181,168 × 181,168
  4. Step 4: Simplify right side
    87,680x = 32,821,844,224
  5. Step 5: Solve for x
    x = 32,821,844,224/87,680
  6. Step 6: Final answer
    x = 374,336.73

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.