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Finding the Third Proportional to 81,224 and 121,836

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Solution

The third proportional to 81,224 and 121,836 is: 182,754

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,224 : 121,836 = 121,836 : x
  2. Step 2: Convert to fraction form
    81,224/121,836 = 121,836/x
  3. Step 3: Cross multiply
    81,224x = 121,836 × 121,836
  4. Step 4: Simplify right side
    81,224x = 14,844,010,896
  5. Step 5: Solve for x
    x = 14,844,010,896/81,224
  6. Step 6: Final answer
    x = 182,754

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.