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Finding the Third Proportional to 79,250 and 159,796

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Solution

The third proportional to 79,250 and 159,796 is: 322,205.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,250 : 159,796 = 159,796 : x
  2. Step 2: Convert to fraction form
    79,250/159,796 = 159,796/x
  3. Step 3: Cross multiply
    79,250x = 159,796 × 159,796
  4. Step 4: Simplify right side
    79,250x = 25,534,761,616
  5. Step 5: Solve for x
    x = 25,534,761,616/79,250
  6. Step 6: Final answer
    x = 322,205.19

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.