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Finding the Third Proportional to 94,591 and 193,555

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Solution

The third proportional to 94,591 and 193,555 is: 396,058.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,591 : 193,555 = 193,555 : x
  2. Step 2: Convert to fraction form
    94,591/193,555 = 193,555/x
  3. Step 3: Cross multiply
    94,591x = 193,555 × 193,555
  4. Step 4: Simplify right side
    94,591x = 37,463,538,025
  5. Step 5: Solve for x
    x = 37,463,538,025/94,591
  6. Step 6: Final answer
    x = 396,058.17

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.