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Finding the Third Proportional to 36,968 and 76,112

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Solution

The third proportional to 36,968 and 76,112 is: 156,704.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,968 : 76,112 = 76,112 : x
  2. Step 2: Convert to fraction form
    36,968/76,112 = 76,112/x
  3. Step 3: Cross multiply
    36,968x = 76,112 × 76,112
  4. Step 4: Simplify right side
    36,968x = 5,793,036,544
  5. Step 5: Solve for x
    x = 5,793,036,544/36,968
  6. Step 6: Final answer
    x = 156,704.08

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.