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Finding the Third Proportional to 41,673 and 91,167

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Solution

The third proportional to 41,673 and 91,167 is: 199,443.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,673 : 91,167 = 91,167 : x
  2. Step 2: Convert to fraction form
    41,673/91,167 = 91,167/x
  3. Step 3: Cross multiply
    41,673x = 91,167 × 91,167
  4. Step 4: Simplify right side
    41,673x = 8,311,421,889
  5. Step 5: Solve for x
    x = 8,311,421,889/41,673
  6. Step 6: Final answer
    x = 199,443.81

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.