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Finding the Third Proportional to 31,898 and 65,092

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Solution

The third proportional to 31,898 and 65,092 is: 132,828.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,898 : 65,092 = 65,092 : x
  2. Step 2: Convert to fraction form
    31,898/65,092 = 65,092/x
  3. Step 3: Cross multiply
    31,898x = 65,092 × 65,092
  4. Step 4: Simplify right side
    31,898x = 4,236,968,464
  5. Step 5: Solve for x
    x = 4,236,968,464/31,898
  6. Step 6: Final answer
    x = 132,828.66

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.