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Finding the Third Proportional to 116,170 and 173,802

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Solution

The third proportional to 116,170 and 173,802 is: 260,025.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,170 : 173,802 = 173,802 : x
  2. Step 2: Convert to fraction form
    116,170/173,802 = 173,802/x
  3. Step 3: Cross multiply
    116,170x = 173,802 × 173,802
  4. Step 4: Simplify right side
    116,170x = 30,207,135,204
  5. Step 5: Solve for x
    x = 30,207,135,204/116,170
  6. Step 6: Final answer
    x = 260,025.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.