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Finding the Third Proportional to 123,029 and 192,744

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Solution

The third proportional to 123,029 and 192,744 is: 301,963.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,029 : 192,744 = 192,744 : x
  2. Step 2: Convert to fraction form
    123,029/192,744 = 192,744/x
  3. Step 3: Cross multiply
    123,029x = 192,744 × 192,744
  4. Step 4: Simplify right side
    123,029x = 37,150,249,536
  5. Step 5: Solve for x
    x = 37,150,249,536/123,029
  6. Step 6: Final answer
    x = 301,963.35

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.