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Finding the Third Proportional to 49,228 and 76,375

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Solution

The third proportional to 49,228 and 76,375 is: 118,492.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,228 : 76,375 = 76,375 : x
  2. Step 2: Convert to fraction form
    49,228/76,375 = 76,375/x
  3. Step 3: Cross multiply
    49,228x = 76,375 × 76,375
  4. Step 4: Simplify right side
    49,228x = 5,833,140,625
  5. Step 5: Solve for x
    x = 5,833,140,625/49,228
  6. Step 6: Final answer
    x = 118,492.33

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.