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Finding the Third Proportional to 37,677 and 81,186

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Solution

The third proportional to 37,677 and 81,186 is: 174,938.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,677 : 81,186 = 81,186 : x
  2. Step 2: Convert to fraction form
    37,677/81,186 = 81,186/x
  3. Step 3: Cross multiply
    37,677x = 81,186 × 81,186
  4. Step 4: Simplify right side
    37,677x = 6,591,166,596
  5. Step 5: Solve for x
    x = 6,591,166,596/37,677
  6. Step 6: Final answer
    x = 174,938.73

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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.