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Finding the Third Proportional to 81,028.97 and 175,040.86

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Solution

The third proportional to 81,028.97 and 175,040.86 is: 378,127.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,028.97 : 175,040.86 = 175,040.86 : x
  2. Step 2: Convert to fraction form
    81,028.97/175,040.86 = 175,040.86/x
  3. Step 3: Cross multiply
    81,028.97x = 175,040.86 × 175,040.86
  4. Step 4: Simplify right side
    81,028.97x = 30,639,302,450.74
  5. Step 5: Solve for x
    x = 30,639,302,450.74/81,028.97
  6. Step 6: Final answer
    x = 378,127.76

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.