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Finding the Third Proportional to 117,027 and 173,809

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Solution

The third proportional to 117,027 and 173,809 is: 258,141.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,027 : 173,809 = 173,809 : x
  2. Step 2: Convert to fraction form
    117,027/173,809 = 173,809/x
  3. Step 3: Cross multiply
    117,027x = 173,809 × 173,809
  4. Step 4: Simplify right side
    117,027x = 30,209,568,481
  5. Step 5: Solve for x
    x = 30,209,568,481/117,027
  6. Step 6: Final answer
    x = 258,141.87

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.