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Finding the Third Proportional to 80,067 and 115,969.50

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Solution

The third proportional to 80,067 and 115,969.50 is: 167,970.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,067 : 115,969.50 = 115,969.50 : x
  2. Step 2: Convert to fraction form
    80,067/115,969.50 = 115,969.50/x
  3. Step 3: Cross multiply
    80,067x = 115,969.50 × 115,969.50
  4. Step 4: Simplify right side
    80,067x = 13,448,924,930.25
  5. Step 5: Solve for x
    x = 13,448,924,930.25/80,067
  6. Step 6: Final answer
    x = 167,970.89

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.