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Finding the Third Proportional to 39,114 and 80,050

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Solution

The third proportional to 39,114 and 80,050 is: 163,828.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,114 : 80,050 = 80,050 : x
  2. Step 2: Convert to fraction form
    39,114/80,050 = 80,050/x
  3. Step 3: Cross multiply
    39,114x = 80,050 × 80,050
  4. Step 4: Simplify right side
    39,114x = 6,408,002,500
  5. Step 5: Solve for x
    x = 6,408,002,500/39,114
  6. Step 6: Final answer
    x = 163,828.87

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.