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Finding the Third Proportional to 57,140.25 and 123,027.75

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Solution

The third proportional to 57,140.25 and 123,027.75 is: 264,889.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,140.25 : 123,027.75 = 123,027.75 : x
  2. Step 2: Convert to fraction form
    57,140.25/123,027.75 = 123,027.75/x
  3. Step 3: Cross multiply
    57,140.25x = 123,027.75 × 123,027.75
  4. Step 4: Simplify right side
    57,140.25x = 15,135,827,270.06
  5. Step 5: Solve for x
    x = 15,135,827,270.06/57,140.25
  6. Step 6: Final answer
    x = 264,889.06

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Why These Related Problems?

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