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Finding the Third Proportional to 36,860 and 75,906

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Solution

The third proportional to 36,860 and 75,906 is: 156,313.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,860 : 75,906 = 75,906 : x
  2. Step 2: Convert to fraction form
    36,860/75,906 = 75,906/x
  3. Step 3: Cross multiply
    36,860x = 75,906 × 75,906
  4. Step 4: Simplify right side
    36,860x = 5,761,720,836
  5. Step 5: Solve for x
    x = 5,761,720,836/36,860
  6. Step 6: Final answer
    x = 156,313.64

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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.