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Finding the Third Proportional to 72,791.25 and 160,243.50

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Solution

The third proportional to 72,791.25 and 160,243.50 is: 352,761.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,791.25 : 160,243.50 = 160,243.50 : x
  2. Step 2: Convert to fraction form
    72,791.25/160,243.50 = 160,243.50/x
  3. Step 3: Cross multiply
    72,791.25x = 160,243.50 × 160,243.50
  4. Step 4: Simplify right side
    72,791.25x = 25,677,979,292.25
  5. Step 5: Solve for x
    x = 25,677,979,292.25/72,791.25
  6. Step 6: Final answer
    x = 352,761.90

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.