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Finding the Third Proportional to 41,379 and 89,317

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Solution

The third proportional to 41,379 and 89,317 is: 192,791.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,379 : 89,317 = 89,317 : x
  2. Step 2: Convert to fraction form
    41,379/89,317 = 89,317/x
  3. Step 3: Cross multiply
    41,379x = 89,317 × 89,317
  4. Step 4: Simplify right side
    41,379x = 7,977,526,489
  5. Step 5: Solve for x
    x = 7,977,526,489/41,379
  6. Step 6: Final answer
    x = 192,791.67

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.