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Finding the Third Proportional to 85,673 and 131,777

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Solution

The third proportional to 85,673 and 131,777 is: 202,691.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,673 : 131,777 = 131,777 : x
  2. Step 2: Convert to fraction form
    85,673/131,777 = 131,777/x
  3. Step 3: Cross multiply
    85,673x = 131,777 × 131,777
  4. Step 4: Simplify right side
    85,673x = 17,365,177,729
  5. Step 5: Solve for x
    x = 17,365,177,729/85,673
  6. Step 6: Final answer
    x = 202,691.37

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.