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Finding the Third Proportional to 72,252.25 and 115,067

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Solution

The third proportional to 72,252.25 and 115,067 is: 183,252.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,252.25 : 115,067 = 115,067 : x
  2. Step 2: Convert to fraction form
    72,252.25/115,067 = 115,067/x
  3. Step 3: Cross multiply
    72,252.25x = 115,067 × 115,067
  4. Step 4: Simplify right side
    72,252.25x = 13,240,414,489
  5. Step 5: Solve for x
    x = 13,240,414,489/72,252.25
  6. Step 6: Final answer
    x = 183,252.63

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.