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Finding the Third Proportional to 56,114 and 123,298

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Solution

The third proportional to 56,114 and 123,298 is: 270,919.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,114 : 123,298 = 123,298 : x
  2. Step 2: Convert to fraction form
    56,114/123,298 = 123,298/x
  3. Step 3: Cross multiply
    56,114x = 123,298 × 123,298
  4. Step 4: Simplify right side
    56,114x = 15,202,396,804
  5. Step 5: Solve for x
    x = 15,202,396,804/56,114
  6. Step 6: Final answer
    x = 270,919.86

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.