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Finding the Third Proportional to 91,593 and 193,026

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Solution

The third proportional to 91,593 and 193,026 is: 406,789.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,593 : 193,026 = 193,026 : x
  2. Step 2: Convert to fraction form
    91,593/193,026 = 193,026/x
  3. Step 3: Cross multiply
    91,593x = 193,026 × 193,026
  4. Step 4: Simplify right side
    91,593x = 37,259,036,676
  5. Step 5: Solve for x
    x = 37,259,036,676/91,593
  6. Step 6: Final answer
    x = 406,789.13

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.