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Finding the Third Proportional to 38,966 and 84,164

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Solution

The third proportional to 38,966 and 84,164 is: 181,788.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,966 : 84,164 = 84,164 : x
  2. Step 2: Convert to fraction form
    38,966/84,164 = 84,164/x
  3. Step 3: Cross multiply
    38,966x = 84,164 × 84,164
  4. Step 4: Simplify right side
    38,966x = 7,083,578,896
  5. Step 5: Solve for x
    x = 7,083,578,896/38,966
  6. Step 6: Final answer
    x = 181,788.71

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.