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Finding the Third Proportional to 100,512 and 150,996

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Solution

The third proportional to 100,512 and 150,996 is: 226,836.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,512 : 150,996 = 150,996 : x
  2. Step 2: Convert to fraction form
    100,512/150,996 = 150,996/x
  3. Step 3: Cross multiply
    100,512x = 150,996 × 150,996
  4. Step 4: Simplify right side
    100,512x = 22,799,792,016
  5. Step 5: Solve for x
    x = 22,799,792,016/100,512
  6. Step 6: Final answer
    x = 226,836.52

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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.