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Finding the Third Proportional to 101,016 and 150,900

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Solution

The third proportional to 101,016 and 150,900 is: 225,417.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,016 : 150,900 = 150,900 : x
  2. Step 2: Convert to fraction form
    101,016/150,900 = 150,900/x
  3. Step 3: Cross multiply
    101,016x = 150,900 × 150,900
  4. Step 4: Simplify right side
    101,016x = 22,770,810,000
  5. Step 5: Solve for x
    x = 22,770,810,000/101,016
  6. Step 6: Final answer
    x = 225,417.85

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.