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Finding the Third Proportional to 82,104 and 129,825

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Solution

The third proportional to 82,104 and 129,825 is: 205,282.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,104 : 129,825 = 129,825 : x
  2. Step 2: Convert to fraction form
    82,104/129,825 = 129,825/x
  3. Step 3: Cross multiply
    82,104x = 129,825 × 129,825
  4. Step 4: Simplify right side
    82,104x = 16,854,530,625
  5. Step 5: Solve for x
    x = 16,854,530,625/82,104
  6. Step 6: Final answer
    x = 205,282.70

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.