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Finding the Third Proportional to 101,629.50 and 150,972

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Solution

The third proportional to 101,629.50 and 150,972 is: 224,270.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,629.50 : 150,972 = 150,972 : x
  2. Step 2: Convert to fraction form
    101,629.50/150,972 = 150,972/x
  3. Step 3: Cross multiply
    101,629.50x = 150,972 × 150,972
  4. Step 4: Simplify right side
    101,629.50x = 22,792,544,784
  5. Step 5: Solve for x
    x = 22,792,544,784/101,629.50
  6. Step 6: Final answer
    x = 224,270.95

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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.