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Finding the Third Proportional to 129,625 and 211,665

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Solution

The third proportional to 129,625 and 211,665 is: 345,628.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,625 : 211,665 = 211,665 : x
  2. Step 2: Convert to fraction form
    129,625/211,665 = 211,665/x
  3. Step 3: Cross multiply
    129,625x = 211,665 × 211,665
  4. Step 4: Simplify right side
    129,625x = 44,802,072,225
  5. Step 5: Solve for x
    x = 44,802,072,225/129,625
  6. Step 6: Final answer
    x = 345,628.33

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.