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Finding the Third Proportional to 36,174 and 54,223

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Solution

The third proportional to 36,174 and 54,223 is: 81,277.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,174 : 54,223 = 54,223 : x
  2. Step 2: Convert to fraction form
    36,174/54,223 = 54,223/x
  3. Step 3: Cross multiply
    36,174x = 54,223 × 54,223
  4. Step 4: Simplify right side
    36,174x = 2,940,133,729
  5. Step 5: Solve for x
    x = 2,940,133,729/36,174
  6. Step 6: Final answer
    x = 81,277.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.