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Finding the Third Proportional to 100,200 and 150,024

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Solution

The third proportional to 100,200 and 150,024 is: 224,622.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,200 : 150,024 = 150,024 : x
  2. Step 2: Convert to fraction form
    100,200/150,024 = 150,024/x
  3. Step 3: Cross multiply
    100,200x = 150,024 × 150,024
  4. Step 4: Simplify right side
    100,200x = 22,507,200,576
  5. Step 5: Solve for x
    x = 22,507,200,576/100,200
  6. Step 6: Final answer
    x = 224,622.76

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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.