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Finding the Third Proportional to 37,541 and 80,098

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Solution

The third proportional to 37,541 and 80,098 is: 170,898.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,541 : 80,098 = 80,098 : x
  2. Step 2: Convert to fraction form
    37,541/80,098 = 80,098/x
  3. Step 3: Cross multiply
    37,541x = 80,098 × 80,098
  4. Step 4: Simplify right side
    37,541x = 6,415,689,604
  5. Step 5: Solve for x
    x = 6,415,689,604/37,541
  6. Step 6: Final answer
    x = 170,898.21

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.