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Finding the Third Proportional to 80,043.75 and 120,278.25

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Solution

The third proportional to 80,043.75 and 120,278.25 is: 180,736.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,043.75 : 120,278.25 = 120,278.25 : x
  2. Step 2: Convert to fraction form
    80,043.75/120,278.25 = 120,278.25/x
  3. Step 3: Cross multiply
    80,043.75x = 120,278.25 × 120,278.25
  4. Step 4: Simplify right side
    80,043.75x = 14,466,857,423.06
  5. Step 5: Solve for x
    x = 14,466,857,423.06/80,043.75
  6. Step 6: Final answer
    x = 180,736.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.