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Finding the Third Proportional to 82,041 and 193,166

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Solution

The third proportional to 82,041 and 193,166 is: 454,810.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,041 : 193,166 = 193,166 : x
  2. Step 2: Convert to fraction form
    82,041/193,166 = 193,166/x
  3. Step 3: Cross multiply
    82,041x = 193,166 × 193,166
  4. Step 4: Simplify right side
    82,041x = 37,313,103,556
  5. Step 5: Solve for x
    x = 37,313,103,556/82,041
  6. Step 6: Final answer
    x = 454,810.44

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.