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Finding the Third Proportional to 80,414.75 and 118,282.75

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Solution

The third proportional to 80,414.75 and 118,282.75 is: 173,983.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,414.75 : 118,282.75 = 118,282.75 : x
  2. Step 2: Convert to fraction form
    80,414.75/118,282.75 = 118,282.75/x
  3. Step 3: Cross multiply
    80,414.75x = 118,282.75 × 118,282.75
  4. Step 4: Simplify right side
    80,414.75x = 13,990,808,947.56
  5. Step 5: Solve for x
    x = 13,990,808,947.56/80,414.75
  6. Step 6: Final answer
    x = 173,983.12

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.