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Finding the Third Proportional to 136,842 and 192,015

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Solution

The third proportional to 136,842 and 192,015 is: 269,433.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,842 : 192,015 = 192,015 : x
  2. Step 2: Convert to fraction form
    136,842/192,015 = 192,015/x
  3. Step 3: Cross multiply
    136,842x = 192,015 × 192,015
  4. Step 4: Simplify right side
    136,842x = 36,869,760,225
  5. Step 5: Solve for x
    x = 36,869,760,225/136,842
  6. Step 6: Final answer
    x = 269,433.07

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.