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Finding the Third Proportional to 105,112 and 158,760

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Solution

The third proportional to 105,112 and 158,760 is: 239,789.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,112 : 158,760 = 158,760 : x
  2. Step 2: Convert to fraction form
    105,112/158,760 = 158,760/x
  3. Step 3: Cross multiply
    105,112x = 158,760 × 158,760
  4. Step 4: Simplify right side
    105,112x = 25,204,737,600
  5. Step 5: Solve for x
    x = 25,204,737,600/105,112
  6. Step 6: Final answer
    x = 239,789.34

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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.