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Finding the Third Proportional to 73,204 and 159,793

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Solution

The third proportional to 73,204 and 159,793 is: 348,803.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,204 : 159,793 = 159,793 : x
  2. Step 2: Convert to fraction form
    73,204/159,793 = 159,793/x
  3. Step 3: Cross multiply
    73,204x = 159,793 × 159,793
  4. Step 4: Simplify right side
    73,204x = 25,533,802,849
  5. Step 5: Solve for x
    x = 25,533,802,849/73,204
  6. Step 6: Final answer
    x = 348,803.38

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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.