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Finding the Third Proportional to 37,280 and 80,121

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Solution

The third proportional to 37,280 and 80,121 is: 172,193.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,280 : 80,121 = 80,121 : x
  2. Step 2: Convert to fraction form
    37,280/80,121 = 80,121/x
  3. Step 3: Cross multiply
    37,280x = 80,121 × 80,121
  4. Step 4: Simplify right side
    37,280x = 6,419,374,641
  5. Step 5: Solve for x
    x = 6,419,374,641/37,280
  6. Step 6: Final answer
    x = 172,193.53

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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.