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Finding the Third Proportional to 50,642 and 109,075

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Solution

The third proportional to 50,642 and 109,075 is: 234,930.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,642 : 109,075 = 109,075 : x
  2. Step 2: Convert to fraction form
    50,642/109,075 = 109,075/x
  3. Step 3: Cross multiply
    50,642x = 109,075 × 109,075
  4. Step 4: Simplify right side
    50,642x = 11,897,355,625
  5. Step 5: Solve for x
    x = 11,897,355,625/50,642
  6. Step 6: Final answer
    x = 234,930.60

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.