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Finding the Third Proportional to 86,352 and 185,825

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Solution

The third proportional to 86,352 and 185,825 is: 399,885.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,352 : 185,825 = 185,825 : x
  2. Step 2: Convert to fraction form
    86,352/185,825 = 185,825/x
  3. Step 3: Cross multiply
    86,352x = 185,825 × 185,825
  4. Step 4: Simplify right side
    86,352x = 34,530,930,625
  5. Step 5: Solve for x
    x = 34,530,930,625/86,352
  6. Step 6: Final answer
    x = 399,885.71

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.