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Finding the Third Proportional to 100,270 and 150,424

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Solution

The third proportional to 100,270 and 150,424 is: 225,664.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,270 : 150,424 = 150,424 : x
  2. Step 2: Convert to fraction form
    100,270/150,424 = 150,424/x
  3. Step 3: Cross multiply
    100,270x = 150,424 × 150,424
  4. Step 4: Simplify right side
    100,270x = 22,627,379,776
  5. Step 5: Solve for x
    x = 22,627,379,776/100,270
  6. Step 6: Final answer
    x = 225,664.50

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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.