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Finding the Third Proportional to 27,222 and 57,198

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Solution

The third proportional to 27,222 and 57,198 is: 120,182.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,222 : 57,198 = 57,198 : x
  2. Step 2: Convert to fraction form
    27,222/57,198 = 57,198/x
  3. Step 3: Cross multiply
    27,222x = 57,198 × 57,198
  4. Step 4: Simplify right side
    27,222x = 3,271,611,204
  5. Step 5: Solve for x
    x = 3,271,611,204/27,222
  6. Step 6: Final answer
    x = 120,182.62

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.