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Finding the Third Proportional to 71,091.38 and 164,579.44

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Solution

The third proportional to 71,091.38 and 164,579.44 is: 381,008.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,091.38 : 164,579.44 = 164,579.44 : x
  2. Step 2: Convert to fraction form
    71,091.38/164,579.44 = 164,579.44/x
  3. Step 3: Cross multiply
    71,091.38x = 164,579.44 × 164,579.44
  4. Step 4: Simplify right side
    71,091.38x = 27,086,391,247.82
  5. Step 5: Solve for x
    x = 27,086,391,247.82/71,091.38
  6. Step 6: Final answer
    x = 381,008.12

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These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.