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Finding the Third Proportional to 86,016 and 132,855

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Solution

The third proportional to 86,016 and 132,855 is: 205,199.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,016 : 132,855 = 132,855 : x
  2. Step 2: Convert to fraction form
    86,016/132,855 = 132,855/x
  3. Step 3: Cross multiply
    86,016x = 132,855 × 132,855
  4. Step 4: Simplify right side
    86,016x = 17,650,451,025
  5. Step 5: Solve for x
    x = 17,650,451,025/86,016
  6. Step 6: Final answer
    x = 205,199.63

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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.