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Finding the Third Proportional to 107,965.13 and 168,027.75

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Solution

The third proportional to 107,965.13 and 168,027.75 is: 261,504.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,965.13 : 168,027.75 = 168,027.75 : x
  2. Step 2: Convert to fraction form
    107,965.13/168,027.75 = 168,027.75/x
  3. Step 3: Cross multiply
    107,965.13x = 168,027.75 × 168,027.75
  4. Step 4: Simplify right side
    107,965.13x = 28,233,324,770.06
  5. Step 5: Solve for x
    x = 28,233,324,770.06/107,965.13
  6. Step 6: Final answer
    x = 261,504.12

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.