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Finding the Third Proportional to 96,678 and 159,102

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Solution

The third proportional to 96,678 and 159,102 is: 261,832.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,678 : 159,102 = 159,102 : x
  2. Step 2: Convert to fraction form
    96,678/159,102 = 159,102/x
  3. Step 3: Cross multiply
    96,678x = 159,102 × 159,102
  4. Step 4: Simplify right side
    96,678x = 25,313,446,404
  5. Step 5: Solve for x
    x = 25,313,446,404/96,678
  6. Step 6: Final answer
    x = 261,832.54

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.