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Finding the Third Proportional to 100,213 and 150,451

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Solution

The third proportional to 100,213 and 150,451 is: 225,873.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,213 : 150,451 = 150,451 : x
  2. Step 2: Convert to fraction form
    100,213/150,451 = 150,451/x
  3. Step 3: Cross multiply
    100,213x = 150,451 × 150,451
  4. Step 4: Simplify right side
    100,213x = 22,635,503,401
  5. Step 5: Solve for x
    x = 22,635,503,401/100,213
  6. Step 6: Final answer
    x = 225,873.92

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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.