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Finding the Third Proportional to 57,361.08 and 123,025.92

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Solution

The third proportional to 57,361.08 and 123,025.92 is: 263,861.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,361.08 : 123,025.92 = 123,025.92 : x
  2. Step 2: Convert to fraction form
    57,361.08/123,025.92 = 123,025.92/x
  3. Step 3: Cross multiply
    57,361.08x = 123,025.92 × 123,025.92
  4. Step 4: Simplify right side
    57,361.08x = 15,135,377,453.19
  5. Step 5: Solve for x
    x = 15,135,377,453.19/57,361.08
  6. Step 6: Final answer
    x = 263,861.45

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.