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Finding the Third Proportional to 57,716.30 and 86,956.03

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Solution

The third proportional to 57,716.30 and 86,956.03 is: 131,008.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,716.30 : 86,956.03 = 86,956.03 : x
  2. Step 2: Convert to fraction form
    57,716.30/86,956.03 = 86,956.03/x
  3. Step 3: Cross multiply
    57,716.30x = 86,956.03 × 86,956.03
  4. Step 4: Simplify right side
    57,716.30x = 7,561,351,370.75
  5. Step 5: Solve for x
    x = 7,561,351,370.75/57,716.30
  6. Step 6: Final answer
    x = 131,008.95

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.