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Finding the Third Proportional to 100,205 and 150,031

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Solution

The third proportional to 100,205 and 150,031 is: 224,632.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,205 : 150,031 = 150,031 : x
  2. Step 2: Convert to fraction form
    100,205/150,031 = 150,031/x
  3. Step 3: Cross multiply
    100,205x = 150,031 × 150,031
  4. Step 4: Simplify right side
    100,205x = 22,509,300,961
  5. Step 5: Solve for x
    x = 22,509,300,961/100,205
  6. Step 6: Final answer
    x = 224,632.51

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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.