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Finding the Third Proportional to 37,102 and 76,027

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Solution

The third proportional to 37,102 and 76,027 is: 155,789.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,102 : 76,027 = 76,027 : x
  2. Step 2: Convert to fraction form
    37,102/76,027 = 76,027/x
  3. Step 3: Cross multiply
    37,102x = 76,027 × 76,027
  4. Step 4: Simplify right side
    37,102x = 5,780,104,729
  5. Step 5: Solve for x
    x = 5,780,104,729/37,102
  6. Step 6: Final answer
    x = 155,789.57

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.