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Finding the Third Proportional to 57,956.50 and 123,568.25

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Solution

The third proportional to 57,956.50 and 123,568.25 is: 263,458.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,956.50 : 123,568.25 = 123,568.25 : x
  2. Step 2: Convert to fraction form
    57,956.50/123,568.25 = 123,568.25/x
  3. Step 3: Cross multiply
    57,956.50x = 123,568.25 × 123,568.25
  4. Step 4: Simplify right side
    57,956.50x = 15,269,112,408.06
  5. Step 5: Solve for x
    x = 15,269,112,408.06/57,956.50
  6. Step 6: Final answer
    x = 263,458.15

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.