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Finding the Third Proportional to 81,270.56 and 107,866.69

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Solution

The third proportional to 81,270.56 and 107,866.69 is: 143,166.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,270.56 : 107,866.69 = 107,866.69 : x
  2. Step 2: Convert to fraction form
    81,270.56/107,866.69 = 107,866.69/x
  3. Step 3: Cross multiply
    81,270.56x = 107,866.69 × 107,866.69
  4. Step 4: Simplify right side
    81,270.56x = 11,635,222,272.22
  5. Step 5: Solve for x
    x = 11,635,222,272.22/81,270.56
  6. Step 6: Final answer
    x = 143,166.50

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.