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Finding the Third Proportional to 123,736 and 192,999

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Solution

The third proportional to 123,736 and 192,999 is: 301,032.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,736 : 192,999 = 192,999 : x
  2. Step 2: Convert to fraction form
    123,736/192,999 = 192,999/x
  3. Step 3: Cross multiply
    123,736x = 192,999 × 192,999
  4. Step 4: Simplify right side
    123,736x = 37,248,614,001
  5. Step 5: Solve for x
    x = 37,248,614,001/123,736
  6. Step 6: Final answer
    x = 301,032.96

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.