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Finding the Third Proportional to 51,415 and 118,027

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Solution

The third proportional to 51,415 and 118,027 is: 270,939.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,415 : 118,027 = 118,027 : x
  2. Step 2: Convert to fraction form
    51,415/118,027 = 118,027/x
  3. Step 3: Cross multiply
    51,415x = 118,027 × 118,027
  4. Step 4: Simplify right side
    51,415x = 13,930,372,729
  5. Step 5: Solve for x
    x = 13,930,372,729/51,415
  6. Step 6: Final answer
    x = 270,939.86

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.