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Finding the Third Proportional to 86,596 and 185,652

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Solution

The third proportional to 86,596 and 185,652 is: 398,016.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,596 : 185,652 = 185,652 : x
  2. Step 2: Convert to fraction form
    86,596/185,652 = 185,652/x
  3. Step 3: Cross multiply
    86,596x = 185,652 × 185,652
  4. Step 4: Simplify right side
    86,596x = 34,466,665,104
  5. Step 5: Solve for x
    x = 34,466,665,104/86,596
  6. Step 6: Final answer
    x = 398,016.83

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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.