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Finding the Third Proportional to 79,949.25 and 171,999

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Solution

The third proportional to 79,949.25 and 171,999 is: 370,030.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,949.25 : 171,999 = 171,999 : x
  2. Step 2: Convert to fraction form
    79,949.25/171,999 = 171,999/x
  3. Step 3: Cross multiply
    79,949.25x = 171,999 × 171,999
  4. Step 4: Simplify right side
    79,949.25x = 29,583,656,001
  5. Step 5: Solve for x
    x = 29,583,656,001/79,949.25
  6. Step 6: Final answer
    x = 370,030.44

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.