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Finding the Third Proportional to 82,836 and 124,866

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Solution

The third proportional to 82,836 and 124,866 is: 188,221.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,836 : 124,866 = 124,866 : x
  2. Step 2: Convert to fraction form
    82,836/124,866 = 124,866/x
  3. Step 3: Cross multiply
    82,836x = 124,866 × 124,866
  4. Step 4: Simplify right side
    82,836x = 15,591,517,956
  5. Step 5: Solve for x
    x = 15,591,517,956/82,836
  6. Step 6: Final answer
    x = 188,221.52

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.