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Finding the Third Proportional to 120,170 and 184,811

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Solution

The third proportional to 120,170 and 184,811 is: 284,223.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,170 : 184,811 = 184,811 : x
  2. Step 2: Convert to fraction form
    120,170/184,811 = 184,811/x
  3. Step 3: Cross multiply
    120,170x = 184,811 × 184,811
  4. Step 4: Simplify right side
    120,170x = 34,155,105,721
  5. Step 5: Solve for x
    x = 34,155,105,721/120,170
  6. Step 6: Final answer
    x = 284,223.23

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.