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Finding the Third Proportional to 72,197 and 108,296

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Solution

The third proportional to 72,197 and 108,296 is: 162,444.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,197 : 108,296 = 108,296 : x
  2. Step 2: Convert to fraction form
    72,197/108,296 = 108,296/x
  3. Step 3: Cross multiply
    72,197x = 108,296 × 108,296
  4. Step 4: Simplify right side
    72,197x = 11,728,023,616
  5. Step 5: Solve for x
    x = 11,728,023,616/72,197
  6. Step 6: Final answer
    x = 162,444.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.