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Finding the Third Proportional to 43,279 and 65,075

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Solution

The third proportional to 43,279 and 65,075 is: 97,847.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,279 : 65,075 = 65,075 : x
  2. Step 2: Convert to fraction form
    43,279/65,075 = 65,075/x
  3. Step 3: Cross multiply
    43,279x = 65,075 × 65,075
  4. Step 4: Simplify right side
    43,279x = 4,234,755,625
  5. Step 5: Solve for x
    x = 4,234,755,625/43,279
  6. Step 6: Final answer
    x = 97,847.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.