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Finding the Third Proportional to 80,706.38 and 118,194.19

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Solution

The third proportional to 80,706.38 and 118,194.19 is: 173,094.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,706.38 : 118,194.19 = 118,194.19 : x
  2. Step 2: Convert to fraction form
    80,706.38/118,194.19 = 118,194.19/x
  3. Step 3: Cross multiply
    80,706.38x = 118,194.19 × 118,194.19
  4. Step 4: Simplify right side
    80,706.38x = 13,969,865,958.79
  5. Step 5: Solve for x
    x = 13,969,865,958.79/80,706.38
  6. Step 6: Final answer
    x = 173,094.95

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.