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Finding the Third Proportional to 91,929 and 193,134

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Solution

The third proportional to 91,929 and 193,134 is: 405,755.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,929 : 193,134 = 193,134 : x
  2. Step 2: Convert to fraction form
    91,929/193,134 = 193,134/x
  3. Step 3: Cross multiply
    91,929x = 193,134 × 193,134
  4. Step 4: Simplify right side
    91,929x = 37,300,741,956
  5. Step 5: Solve for x
    x = 37,300,741,956/91,929
  6. Step 6: Final answer
    x = 405,755.99

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.