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Finding the Third Proportional to 103,631 and 160,027

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Solution

The third proportional to 103,631 and 160,027 is: 247,113.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,631 : 160,027 = 160,027 : x
  2. Step 2: Convert to fraction form
    103,631/160,027 = 160,027/x
  3. Step 3: Cross multiply
    103,631x = 160,027 × 160,027
  4. Step 4: Simplify right side
    103,631x = 25,608,640,729
  5. Step 5: Solve for x
    x = 25,608,640,729/103,631
  6. Step 6: Final answer
    x = 247,113.71

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.