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Finding the Third Proportional to 92,202 and 129,825

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Solution

The third proportional to 92,202 and 129,825 is: 182,800.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,202 : 129,825 = 129,825 : x
  2. Step 2: Convert to fraction form
    92,202/129,825 = 129,825/x
  3. Step 3: Cross multiply
    92,202x = 129,825 × 129,825
  4. Step 4: Simplify right side
    92,202x = 16,854,530,625
  5. Step 5: Solve for x
    x = 16,854,530,625/92,202
  6. Step 6: Final answer
    x = 182,800.05

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.