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Finding the Third Proportional to 83,186 and 171,268

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Solution

The third proportional to 83,186 and 171,268 is: 352,616.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,186 : 171,268 = 171,268 : x
  2. Step 2: Convert to fraction form
    83,186/171,268 = 171,268/x
  3. Step 3: Cross multiply
    83,186x = 171,268 × 171,268
  4. Step 4: Simplify right side
    83,186x = 29,332,727,824
  5. Step 5: Solve for x
    x = 29,332,727,824/83,186
  6. Step 6: Final answer
    x = 352,616.16

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.