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Finding the Third Proportional to 106,665 and 171,825

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Solution

The third proportional to 106,665 and 171,825 is: 276,790.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,665 : 171,825 = 171,825 : x
  2. Step 2: Convert to fraction form
    106,665/171,825 = 171,825/x
  3. Step 3: Cross multiply
    106,665x = 171,825 × 171,825
  4. Step 4: Simplify right side
    106,665x = 29,523,830,625
  5. Step 5: Solve for x
    x = 29,523,830,625/106,665
  6. Step 6: Final answer
    x = 276,790.24

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.