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Finding the Third Proportional to 101,189.75 and 150,964.50

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Solution

The third proportional to 101,189.75 and 150,964.50 is: 225,223.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,189.75 : 150,964.50 = 150,964.50 : x
  2. Step 2: Convert to fraction form
    101,189.75/150,964.50 = 150,964.50/x
  3. Step 3: Cross multiply
    101,189.75x = 150,964.50 × 150,964.50
  4. Step 4: Simplify right side
    101,189.75x = 22,790,280,260.25
  5. Step 5: Solve for x
    x = 22,790,280,260.25/101,189.75
  6. Step 6: Final answer
    x = 225,223.21

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Why These Related Problems?

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