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Finding the Third Proportional to 80,238.38 and 112,173.75

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Solution

The third proportional to 80,238.38 and 112,173.75 is: 156,819.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,238.38 : 112,173.75 = 112,173.75 : x
  2. Step 2: Convert to fraction form
    80,238.38/112,173.75 = 112,173.75/x
  3. Step 3: Cross multiply
    80,238.38x = 112,173.75 × 112,173.75
  4. Step 4: Simplify right side
    80,238.38x = 12,582,950,189.06
  5. Step 5: Solve for x
    x = 12,582,950,189.06/80,238.38
  6. Step 6: Final answer
    x = 156,819.60

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.