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Finding the Third Proportional to 36,178 and 54,229

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Solution

The third proportional to 36,178 and 54,229 is: 81,286.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,178 : 54,229 = 54,229 : x
  2. Step 2: Convert to fraction form
    36,178/54,229 = 54,229/x
  3. Step 3: Cross multiply
    36,178x = 54,229 × 54,229
  4. Step 4: Simplify right side
    36,178x = 2,940,784,441
  5. Step 5: Solve for x
    x = 2,940,784,441/36,178
  6. Step 6: Final answer
    x = 81,286.54

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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.