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Finding the Third Proportional to 71,118 and 164,223

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Solution

The third proportional to 71,118 and 164,223 is: 379,217.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,118 : 164,223 = 164,223 : x
  2. Step 2: Convert to fraction form
    71,118/164,223 = 164,223/x
  3. Step 3: Cross multiply
    71,118x = 164,223 × 164,223
  4. Step 4: Simplify right side
    71,118x = 26,969,193,729
  5. Step 5: Solve for x
    x = 26,969,193,729/71,118
  6. Step 6: Final answer
    x = 379,217.55

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.