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Finding the Third Proportional to 57,666.94 and 123,960.38

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Solution

The third proportional to 57,666.94 and 123,960.38 is: 266,464.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,666.94 : 123,960.38 = 123,960.38 : x
  2. Step 2: Convert to fraction form
    57,666.94/123,960.38 = 123,960.38/x
  3. Step 3: Cross multiply
    57,666.94x = 123,960.38 × 123,960.38
  4. Step 4: Simplify right side
    57,666.94x = 15,366,174,570.14
  5. Step 5: Solve for x
    x = 15,366,174,570.14/57,666.94
  6. Step 6: Final answer
    x = 266,464.20

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.