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Finding the Third Proportional to 80,052.75 and 125,574.75

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Solution

The third proportional to 80,052.75 and 125,574.75 is: 196,982.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,052.75 : 125,574.75 = 125,574.75 : x
  2. Step 2: Convert to fraction form
    80,052.75/125,574.75 = 125,574.75/x
  3. Step 3: Cross multiply
    80,052.75x = 125,574.75 × 125,574.75
  4. Step 4: Simplify right side
    80,052.75x = 15,769,017,837.56
  5. Step 5: Solve for x
    x = 15,769,017,837.56/80,052.75
  6. Step 6: Final answer
    x = 196,982.84

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.