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Finding the Third Proportional to 40,568 and 94,252

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Solution

The third proportional to 40,568 and 94,252 is: 218,976.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,568 : 94,252 = 94,252 : x
  2. Step 2: Convert to fraction form
    40,568/94,252 = 94,252/x
  3. Step 3: Cross multiply
    40,568x = 94,252 × 94,252
  4. Step 4: Simplify right side
    40,568x = 8,883,439,504
  5. Step 5: Solve for x
    x = 8,883,439,504/40,568
  6. Step 6: Final answer
    x = 218,976.52

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.