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Finding the Third Proportional to 57,276 and 123,027

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Solution

The third proportional to 57,276 and 123,027 is: 264,258.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,276 : 123,027 = 123,027 : x
  2. Step 2: Convert to fraction form
    57,276/123,027 = 123,027/x
  3. Step 3: Cross multiply
    57,276x = 123,027 × 123,027
  4. Step 4: Simplify right side
    57,276x = 15,135,642,729
  5. Step 5: Solve for x
    x = 15,135,642,729/57,276
  6. Step 6: Final answer
    x = 264,258.03

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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.