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Finding the Third Proportional to 105,104 and 158,744

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Solution

The third proportional to 105,104 and 158,744 is: 239,759.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,104 : 158,744 = 158,744 : x
  2. Step 2: Convert to fraction form
    105,104/158,744 = 158,744/x
  3. Step 3: Cross multiply
    105,104x = 158,744 × 158,744
  4. Step 4: Simplify right side
    105,104x = 25,199,657,536
  5. Step 5: Solve for x
    x = 25,199,657,536/105,104
  6. Step 6: Final answer
    x = 239,759.26

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.