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Finding the Third Proportional to 37,725.75 and 87,252.19

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Solution

The third proportional to 37,725.75 and 87,252.19 is: 201,797.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,725.75 : 87,252.19 = 87,252.19 : x
  2. Step 2: Convert to fraction form
    37,725.75/87,252.19 = 87,252.19/x
  3. Step 3: Cross multiply
    37,725.75x = 87,252.19 × 87,252.19
  4. Step 4: Simplify right side
    37,725.75x = 7,612,944,223.54
  5. Step 5: Solve for x
    x = 7,612,944,223.54/37,725.75
  6. Step 6: Final answer
    x = 201,797.03

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These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.