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Finding the Third Proportional to 101,191.25 and 150,966.75

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Solution

The third proportional to 101,191.25 and 150,966.75 is: 225,226.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,191.25 : 150,966.75 = 150,966.75 : x
  2. Step 2: Convert to fraction form
    101,191.25/150,966.75 = 150,966.75/x
  3. Step 3: Cross multiply
    101,191.25x = 150,966.75 × 150,966.75
  4. Step 4: Simplify right side
    101,191.25x = 22,790,959,605.56
  5. Step 5: Solve for x
    x = 22,790,959,605.56/101,191.25
  6. Step 6: Final answer
    x = 225,226.58

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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.