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Finding the Third Proportional to 57,082.75 and 123,214.75

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Solution

The third proportional to 57,082.75 and 123,214.75 is: 265,962.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,082.75 : 123,214.75 = 123,214.75 : x
  2. Step 2: Convert to fraction form
    57,082.75/123,214.75 = 123,214.75/x
  3. Step 3: Cross multiply
    57,082.75x = 123,214.75 × 123,214.75
  4. Step 4: Simplify right side
    57,082.75x = 15,181,874,617.56
  5. Step 5: Solve for x
    x = 15,181,874,617.56/57,082.75
  6. Step 6: Final answer
    x = 265,962.57

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.