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Finding the Third Proportional to 80,731.05 and 115,560.74

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Solution

The third proportional to 80,731.05 and 115,560.74 is: 165,416.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,731.05 : 115,560.74 = 115,560.74 : x
  2. Step 2: Convert to fraction form
    80,731.05/115,560.74 = 115,560.74/x
  3. Step 3: Cross multiply
    80,731.05x = 115,560.74 × 115,560.74
  4. Step 4: Simplify right side
    80,731.05x = 13,354,284,232.11
  5. Step 5: Solve for x
    x = 13,354,284,232.11/80,731.05
  6. Step 6: Final answer
    x = 165,416.94

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.