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Finding the Third Proportional to 101,912 and 149,734

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Solution

The third proportional to 101,912 and 149,734 is: 219,996.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,912 : 149,734 = 149,734 : x
  2. Step 2: Convert to fraction form
    101,912/149,734 = 149,734/x
  3. Step 3: Cross multiply
    101,912x = 149,734 × 149,734
  4. Step 4: Simplify right side
    101,912x = 22,420,270,756
  5. Step 5: Solve for x
    x = 22,420,270,756/101,912
  6. Step 6: Final answer
    x = 219,996.38

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.