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Finding the Third Proportional to 80,754.75 and 113,162.25

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Solution

The third proportional to 80,754.75 and 113,162.25 is: 158,575.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,754.75 : 113,162.25 = 113,162.25 : x
  2. Step 2: Convert to fraction form
    80,754.75/113,162.25 = 113,162.25/x
  3. Step 3: Cross multiply
    80,754.75x = 113,162.25 × 113,162.25
  4. Step 4: Simplify right side
    80,754.75x = 12,805,694,825.06
  5. Step 5: Solve for x
    x = 12,805,694,825.06/80,754.75
  6. Step 6: Final answer
    x = 158,575.13

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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.