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Finding the Third Proportional to 83,274 and 120,375

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Solution

The third proportional to 83,274 and 120,375 is: 174,005.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,274 : 120,375 = 120,375 : x
  2. Step 2: Convert to fraction form
    83,274/120,375 = 120,375/x
  3. Step 3: Cross multiply
    83,274x = 120,375 × 120,375
  4. Step 4: Simplify right side
    83,274x = 14,490,140,625
  5. Step 5: Solve for x
    x = 14,490,140,625/83,274
  6. Step 6: Final answer
    x = 174,005.58

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.