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Finding the Third Proportional to 140,122 and 192,683

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Solution

The third proportional to 140,122 and 192,683 is: 264,960.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,122 : 192,683 = 192,683 : x
  2. Step 2: Convert to fraction form
    140,122/192,683 = 192,683/x
  3. Step 3: Cross multiply
    140,122x = 192,683 × 192,683
  4. Step 4: Simplify right side
    140,122x = 37,126,738,489
  5. Step 5: Solve for x
    x = 37,126,738,489/140,122
  6. Step 6: Final answer
    x = 264,960.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.