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Finding the Third Proportional to 72,322 and 155,744

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Solution

The third proportional to 72,322 and 155,744 is: 335,391.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,322 : 155,744 = 155,744 : x
  2. Step 2: Convert to fraction form
    72,322/155,744 = 155,744/x
  3. Step 3: Cross multiply
    72,322x = 155,744 × 155,744
  4. Step 4: Simplify right side
    72,322x = 24,256,193,536
  5. Step 5: Solve for x
    x = 24,256,193,536/72,322
  6. Step 6: Final answer
    x = 335,391.63

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.