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Finding the Third Proportional to 80,196.75 and 112,115.81

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Solution

The third proportional to 80,196.75 and 112,115.81 is: 156,738.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,196.75 : 112,115.81 = 112,115.81 : x
  2. Step 2: Convert to fraction form
    80,196.75/112,115.81 = 112,115.81/x
  3. Step 3: Cross multiply
    80,196.75x = 112,115.81 × 112,115.81
  4. Step 4: Simplify right side
    80,196.75x = 12,569,955,412.54
  5. Step 5: Solve for x
    x = 12,569,955,412.54/80,196.75
  6. Step 6: Final answer
    x = 156,738.96

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