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Finding the Third Proportional to 80,176.50 and 173,064.75

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Solution

The third proportional to 80,176.50 and 173,064.75 is: 373,568.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,176.50 : 173,064.75 = 173,064.75 : x
  2. Step 2: Convert to fraction form
    80,176.50/173,064.75 = 173,064.75/x
  3. Step 3: Cross multiply
    80,176.50x = 173,064.75 × 173,064.75
  4. Step 4: Simplify right side
    80,176.50x = 29,951,407,692.56
  5. Step 5: Solve for x
    x = 29,951,407,692.56/80,176.50
  6. Step 6: Final answer
    x = 373,568.41

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.