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Finding the Third Proportional to 101,636 and 150,979

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Solution

The third proportional to 101,636 and 150,979 is: 224,277.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,636 : 150,979 = 150,979 : x
  2. Step 2: Convert to fraction form
    101,636/150,979 = 150,979/x
  3. Step 3: Cross multiply
    101,636x = 150,979 × 150,979
  4. Step 4: Simplify right side
    101,636x = 22,794,658,441
  5. Step 5: Solve for x
    x = 22,794,658,441/101,636
  6. Step 6: Final answer
    x = 224,277.41

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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.