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Finding the Third Proportional to 159,744 and 175,104

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Solution

The third proportional to 159,744 and 175,104 is: 191,940.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,744 : 175,104 = 175,104 : x
  2. Step 2: Convert to fraction form
    159,744/175,104 = 175,104/x
  3. Step 3: Cross multiply
    159,744x = 175,104 × 175,104
  4. Step 4: Simplify right side
    159,744x = 30,661,410,816
  5. Step 5: Solve for x
    x = 30,661,410,816/159,744
  6. Step 6: Final answer
    x = 191,940.92

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.