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Finding the Third Proportional to 79,194 and 116,193

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Solution

The third proportional to 79,194 and 116,193 is: 170,477.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,194 : 116,193 = 116,193 : x
  2. Step 2: Convert to fraction form
    79,194/116,193 = 116,193/x
  3. Step 3: Cross multiply
    79,194x = 116,193 × 116,193
  4. Step 4: Simplify right side
    79,194x = 13,500,813,249
  5. Step 5: Solve for x
    x = 13,500,813,249/79,194
  6. Step 6: Final answer
    x = 170,477.73

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.