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Finding the Third Proportional to 81,996 and 122,994

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Solution

The third proportional to 81,996 and 122,994 is: 184,491

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,996 : 122,994 = 122,994 : x
  2. Step 2: Convert to fraction form
    81,996/122,994 = 122,994/x
  3. Step 3: Cross multiply
    81,996x = 122,994 × 122,994
  4. Step 4: Simplify right side
    81,996x = 15,127,524,036
  5. Step 5: Solve for x
    x = 15,127,524,036/81,996
  6. Step 6: Final answer
    x = 184,491

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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.