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Finding the Third Proportional to 57,249 and 124,027

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Solution

The third proportional to 57,249 and 124,027 is: 268,698.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,249 : 124,027 = 124,027 : x
  2. Step 2: Convert to fraction form
    57,249/124,027 = 124,027/x
  3. Step 3: Cross multiply
    57,249x = 124,027 × 124,027
  4. Step 4: Simplify right side
    57,249x = 15,382,696,729
  5. Step 5: Solve for x
    x = 15,382,696,729/57,249
  6. Step 6: Final answer
    x = 268,698.09

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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.