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Finding the Third Proportional to 89,241 and 193,185

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Solution

The third proportional to 89,241 and 193,185 is: 418,198.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,241 : 193,185 = 193,185 : x
  2. Step 2: Convert to fraction form
    89,241/193,185 = 193,185/x
  3. Step 3: Cross multiply
    89,241x = 193,185 × 193,185
  4. Step 4: Simplify right side
    89,241x = 37,320,444,225
  5. Step 5: Solve for x
    x = 37,320,444,225/89,241
  6. Step 6: Final answer
    x = 418,198.41

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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.