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Finding the Third Proportional to 106,327 and 220,125

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Solution

The third proportional to 106,327 and 220,125 is: 455,716.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,327 : 220,125 = 220,125 : x
  2. Step 2: Convert to fraction form
    106,327/220,125 = 220,125/x
  3. Step 3: Cross multiply
    106,327x = 220,125 × 220,125
  4. Step 4: Simplify right side
    106,327x = 48,455,015,625
  5. Step 5: Solve for x
    x = 48,455,015,625/106,327
  6. Step 6: Final answer
    x = 455,716.95

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.