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Finding the Third Proportional to 34,796 and 82,126

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Solution

The third proportional to 34,796 and 82,126 is: 193,834.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,796 : 82,126 = 82,126 : x
  2. Step 2: Convert to fraction form
    34,796/82,126 = 82,126/x
  3. Step 3: Cross multiply
    34,796x = 82,126 × 82,126
  4. Step 4: Simplify right side
    34,796x = 6,744,679,876
  5. Step 5: Solve for x
    x = 6,744,679,876/34,796
  6. Step 6: Final answer
    x = 193,834.92

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.