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Finding the Third Proportional to 83,595 and 180,825

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Solution

The third proportional to 83,595 and 180,825 is: 391,143.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,595 : 180,825 = 180,825 : x
  2. Step 2: Convert to fraction form
    83,595/180,825 = 180,825/x
  3. Step 3: Cross multiply
    83,595x = 180,825 × 180,825
  4. Step 4: Simplify right side
    83,595x = 32,697,680,625
  5. Step 5: Solve for x
    x = 32,697,680,625/83,595
  6. Step 6: Final answer
    x = 391,143.98

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.