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Finding the Third Proportional to 54,027 and 125,601.75

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Solution

The third proportional to 54,027 and 125,601.75 is: 291,998.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,027 : 125,601.75 = 125,601.75 : x
  2. Step 2: Convert to fraction form
    54,027/125,601.75 = 125,601.75/x
  3. Step 3: Cross multiply
    54,027x = 125,601.75 × 125,601.75
  4. Step 4: Simplify right side
    54,027x = 15,775,799,603.06
  5. Step 5: Solve for x
    x = 15,775,799,603.06/54,027
  6. Step 6: Final answer
    x = 291,998.44

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.