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Finding the Third Proportional to 38,974 and 83,132

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Solution

The third proportional to 38,974 and 83,132 is: 177,321.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,974 : 83,132 = 83,132 : x
  2. Step 2: Convert to fraction form
    38,974/83,132 = 83,132/x
  3. Step 3: Cross multiply
    38,974x = 83,132 × 83,132
  4. Step 4: Simplify right side
    38,974x = 6,910,929,424
  5. Step 5: Solve for x
    x = 6,910,929,424/38,974
  6. Step 6: Final answer
    x = 177,321.53

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.