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Finding the Third Proportional to 73,026 and 159,204

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Solution

The third proportional to 73,026 and 159,204 is: 347,080.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,026 : 159,204 = 159,204 : x
  2. Step 2: Convert to fraction form
    73,026/159,204 = 159,204/x
  3. Step 3: Cross multiply
    73,026x = 159,204 × 159,204
  4. Step 4: Simplify right side
    73,026x = 25,345,913,616
  5. Step 5: Solve for x
    x = 25,345,913,616/73,026
  6. Step 6: Final answer
    x = 347,080.68

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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.