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Finding the Third Proportional to 50,463 and 107,075

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Solution

The third proportional to 50,463 and 107,075 is: 227,197.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,463 : 107,075 = 107,075 : x
  2. Step 2: Convert to fraction form
    50,463/107,075 = 107,075/x
  3. Step 3: Cross multiply
    50,463x = 107,075 × 107,075
  4. Step 4: Simplify right side
    50,463x = 11,465,055,625
  5. Step 5: Solve for x
    x = 11,465,055,625/50,463
  6. Step 6: Final answer
    x = 227,197.27

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.