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Finding the Third Proportional to 92,296 and 131,981

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Solution

The third proportional to 92,296 and 131,981 is: 188,729.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,296 : 131,981 = 131,981 : x
  2. Step 2: Convert to fraction form
    92,296/131,981 = 131,981/x
  3. Step 3: Cross multiply
    92,296x = 131,981 × 131,981
  4. Step 4: Simplify right side
    92,296x = 17,418,984,361
  5. Step 5: Solve for x
    x = 17,418,984,361/92,296
  6. Step 6: Final answer
    x = 188,729.57

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.