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Finding the Third Proportional to 73,828 and 159,324

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Solution

The third proportional to 73,828 and 159,324 is: 343,828.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,828 : 159,324 = 159,324 : x
  2. Step 2: Convert to fraction form
    73,828/159,324 = 159,324/x
  3. Step 3: Cross multiply
    73,828x = 159,324 × 159,324
  4. Step 4: Simplify right side
    73,828x = 25,384,136,976
  5. Step 5: Solve for x
    x = 25,384,136,976/73,828
  6. Step 6: Final answer
    x = 343,828.05

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.