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Finding the Third Proportional to 127,082.25 and 276,297.75

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Solution

The third proportional to 127,082.25 and 276,297.75 is: 600,716.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,082.25 : 276,297.75 = 276,297.75 : x
  2. Step 2: Convert to fraction form
    127,082.25/276,297.75 = 276,297.75/x
  3. Step 3: Cross multiply
    127,082.25x = 276,297.75 × 276,297.75
  4. Step 4: Simplify right side
    127,082.25x = 76,340,446,655.06
  5. Step 5: Solve for x
    x = 76,340,446,655.06/127,082.25
  6. Step 6: Final answer
    x = 600,716.83

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.