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Finding the Third Proportional to 86,539 and 185,606

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Solution

The third proportional to 86,539 and 185,606 is: 398,081.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,539 : 185,606 = 185,606 : x
  2. Step 2: Convert to fraction form
    86,539/185,606 = 185,606/x
  3. Step 3: Cross multiply
    86,539x = 185,606 × 185,606
  4. Step 4: Simplify right side
    86,539x = 34,449,587,236
  5. Step 5: Solve for x
    x = 34,449,587,236/86,539
  6. Step 6: Final answer
    x = 398,081.64

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.