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Finding the Third Proportional to 72,726 and 159,744

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Solution

The third proportional to 72,726 and 159,744 is: 350,880.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,726 : 159,744 = 159,744 : x
  2. Step 2: Convert to fraction form
    72,726/159,744 = 159,744/x
  3. Step 3: Cross multiply
    72,726x = 159,744 × 159,744
  4. Step 4: Simplify right side
    72,726x = 25,518,145,536
  5. Step 5: Solve for x
    x = 25,518,145,536/72,726
  6. Step 6: Final answer
    x = 350,880.64

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.