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Finding the Third Proportional to 100,527.75 and 150,297.75

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Solution

The third proportional to 100,527.75 and 150,297.75 is: 224,708.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,527.75 : 150,297.75 = 150,297.75 : x
  2. Step 2: Convert to fraction form
    100,527.75/150,297.75 = 150,297.75/x
  3. Step 3: Cross multiply
    100,527.75x = 150,297.75 × 150,297.75
  4. Step 4: Simplify right side
    100,527.75x = 22,589,413,655.06
  5. Step 5: Solve for x
    x = 22,589,413,655.06/100,527.75
  6. Step 6: Final answer
    x = 224,708.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.