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Finding the Third Proportional to 85,881 and 131,375

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Solution

The third proportional to 85,881 and 131,375 is: 200,968.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,881 : 131,375 = 131,375 : x
  2. Step 2: Convert to fraction form
    85,881/131,375 = 131,375/x
  3. Step 3: Cross multiply
    85,881x = 131,375 × 131,375
  4. Step 4: Simplify right side
    85,881x = 17,259,390,625
  5. Step 5: Solve for x
    x = 17,259,390,625/85,881
  6. Step 6: Final answer
    x = 200,968.67

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.