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Finding the Third Proportional to 43,379 and 59,096

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Solution

The third proportional to 43,379 and 59,096 is: 80,507.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,379 : 59,096 = 59,096 : x
  2. Step 2: Convert to fraction form
    43,379/59,096 = 59,096/x
  3. Step 3: Cross multiply
    43,379x = 59,096 × 59,096
  4. Step 4: Simplify right side
    43,379x = 3,492,337,216
  5. Step 5: Solve for x
    x = 3,492,337,216/43,379
  6. Step 6: Final answer
    x = 80,507.55

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.