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Finding the Third Proportional to 99,711 and 150,753

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Solution

The third proportional to 99,711 and 150,753 is: 227,923.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,711 : 150,753 = 150,753 : x
  2. Step 2: Convert to fraction form
    99,711/150,753 = 150,753/x
  3. Step 3: Cross multiply
    99,711x = 150,753 × 150,753
  4. Step 4: Simplify right side
    99,711x = 22,726,467,009
  5. Step 5: Solve for x
    x = 22,726,467,009/99,711
  6. Step 6: Final answer
    x = 227,923.37

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.