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Finding the Third Proportional to 73,226 and 159,880

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Solution

The third proportional to 73,226 and 159,880 is: 349,078.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,226 : 159,880 = 159,880 : x
  2. Step 2: Convert to fraction form
    73,226/159,880 = 159,880/x
  3. Step 3: Cross multiply
    73,226x = 159,880 × 159,880
  4. Step 4: Simplify right side
    73,226x = 25,561,614,400
  5. Step 5: Solve for x
    x = 25,561,614,400/73,226
  6. Step 6: Final answer
    x = 349,078.39

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.