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Finding the Third Proportional to 80,602 and 173,098

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Solution

The third proportional to 80,602 and 173,098 is: 371,739.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,602 : 173,098 = 173,098 : x
  2. Step 2: Convert to fraction form
    80,602/173,098 = 173,098/x
  3. Step 3: Cross multiply
    80,602x = 173,098 × 173,098
  4. Step 4: Simplify right side
    80,602x = 29,962,917,604
  5. Step 5: Solve for x
    x = 29,962,917,604/80,602
  6. Step 6: Final answer
    x = 371,739.13

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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.