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Finding the Third Proportional to 86,204 and 132,940

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Solution

The third proportional to 86,204 and 132,940 is: 205,014.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,204 : 132,940 = 132,940 : x
  2. Step 2: Convert to fraction form
    86,204/132,940 = 132,940/x
  3. Step 3: Cross multiply
    86,204x = 132,940 × 132,940
  4. Step 4: Simplify right side
    86,204x = 17,673,043,600
  5. Step 5: Solve for x
    x = 17,673,043,600/86,204
  6. Step 6: Final answer
    x = 205,014.19

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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.