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Finding the Third Proportional to 37,160 and 80,125

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Solution

The third proportional to 37,160 and 80,125 is: 172,766.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,160 : 80,125 = 80,125 : x
  2. Step 2: Convert to fraction form
    37,160/80,125 = 80,125/x
  3. Step 3: Cross multiply
    37,160x = 80,125 × 80,125
  4. Step 4: Simplify right side
    37,160x = 6,420,015,625
  5. Step 5: Solve for x
    x = 6,420,015,625/37,160
  6. Step 6: Final answer
    x = 172,766.84

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.