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Finding the Third Proportional to 49,911 and 109,075

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Solution

The third proportional to 49,911 and 109,075 is: 238,371.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,911 : 109,075 = 109,075 : x
  2. Step 2: Convert to fraction form
    49,911/109,075 = 109,075/x
  3. Step 3: Cross multiply
    49,911x = 109,075 × 109,075
  4. Step 4: Simplify right side
    49,911x = 11,897,355,625
  5. Step 5: Solve for x
    x = 11,897,355,625/49,911
  6. Step 6: Final answer
    x = 238,371.41

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.