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Finding the Third Proportional to 81,828.38 and 111,060.56

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Solution

The third proportional to 81,828.38 and 111,060.56 is: 150,735.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,828.38 : 111,060.56 = 111,060.56 : x
  2. Step 2: Convert to fraction form
    81,828.38/111,060.56 = 111,060.56/x
  3. Step 3: Cross multiply
    81,828.38x = 111,060.56 × 111,060.56
  4. Step 4: Simplify right side
    81,828.38x = 12,334,448,542.82
  5. Step 5: Solve for x
    x = 12,334,448,542.82/81,828.38
  6. Step 6: Final answer
    x = 150,735.59

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.