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Finding the Third Proportional to 86,002 and 132,837

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Solution

The third proportional to 86,002 and 132,837 is: 205,177.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,002 : 132,837 = 132,837 : x
  2. Step 2: Convert to fraction form
    86,002/132,837 = 132,837/x
  3. Step 3: Cross multiply
    86,002x = 132,837 × 132,837
  4. Step 4: Simplify right side
    86,002x = 17,645,668,569
  5. Step 5: Solve for x
    x = 17,645,668,569/86,002
  6. Step 6: Final answer
    x = 205,177.42

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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.