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Finding the Third Proportional to 92,182 and 195,163

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Solution

The third proportional to 92,182 and 195,163 is: 413,189.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,182 : 195,163 = 195,163 : x
  2. Step 2: Convert to fraction form
    92,182/195,163 = 195,163/x
  3. Step 3: Cross multiply
    92,182x = 195,163 × 195,163
  4. Step 4: Simplify right side
    92,182x = 38,088,596,569
  5. Step 5: Solve for x
    x = 38,088,596,569/92,182
  6. Step 6: Final answer
    x = 413,189.09

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.