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Finding the Third Proportional to 37,668 and 81,103

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Solution

The third proportional to 37,668 and 81,103 is: 174,622.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,668 : 81,103 = 81,103 : x
  2. Step 2: Convert to fraction form
    37,668/81,103 = 81,103/x
  3. Step 3: Cross multiply
    37,668x = 81,103 × 81,103
  4. Step 4: Simplify right side
    37,668x = 6,577,696,609
  5. Step 5: Solve for x
    x = 6,577,696,609/37,668
  6. Step 6: Final answer
    x = 174,622.93

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.