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Finding the Third Proportional to 81,996 and 123,247

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Solution

The third proportional to 81,996 and 123,247 is: 185,250.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,996 : 123,247 = 123,247 : x
  2. Step 2: Convert to fraction form
    81,996/123,247 = 123,247/x
  3. Step 3: Cross multiply
    81,996x = 123,247 × 123,247
  4. Step 4: Simplify right side
    81,996x = 15,189,823,009
  5. Step 5: Solve for x
    x = 15,189,823,009/81,996
  6. Step 6: Final answer
    x = 185,250.78

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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.