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Finding the Third Proportional to 67,824 and 164,087

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Solution

The third proportional to 67,824 and 164,087 is: 396,976.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,824 : 164,087 = 164,087 : x
  2. Step 2: Convert to fraction form
    67,824/164,087 = 164,087/x
  3. Step 3: Cross multiply
    67,824x = 164,087 × 164,087
  4. Step 4: Simplify right side
    67,824x = 26,924,543,569
  5. Step 5: Solve for x
    x = 26,924,543,569/67,824
  6. Step 6: Final answer
    x = 396,976.64

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.