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Finding the Third Proportional to 105,968 and 230,161

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Solution

The third proportional to 105,968 and 230,161 is: 499,906.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,968 : 230,161 = 230,161 : x
  2. Step 2: Convert to fraction form
    105,968/230,161 = 230,161/x
  3. Step 3: Cross multiply
    105,968x = 230,161 × 230,161
  4. Step 4: Simplify right side
    105,968x = 52,974,085,921
  5. Step 5: Solve for x
    x = 52,974,085,921/105,968
  6. Step 6: Final answer
    x = 499,906.44

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.