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Finding the Third Proportional to 119,619 and 192,732

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Solution

The third proportional to 119,619 and 192,732 is: 310,532.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,619 : 192,732 = 192,732 : x
  2. Step 2: Convert to fraction form
    119,619/192,732 = 192,732/x
  3. Step 3: Cross multiply
    119,619x = 192,732 × 192,732
  4. Step 4: Simplify right side
    119,619x = 37,145,623,824
  5. Step 5: Solve for x
    x = 37,145,623,824/119,619
  6. Step 6: Final answer
    x = 310,532.81

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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.