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Finding the Third Proportional to 72,796.50 and 109,086.75

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Solution

The third proportional to 72,796.50 and 109,086.75 is: 163,468.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,796.50 : 109,086.75 = 109,086.75 : x
  2. Step 2: Convert to fraction form
    72,796.50/109,086.75 = 109,086.75/x
  3. Step 3: Cross multiply
    72,796.50x = 109,086.75 × 109,086.75
  4. Step 4: Simplify right side
    72,796.50x = 11,899,919,025.56
  5. Step 5: Solve for x
    x = 11,899,919,025.56/72,796.50
  6. Step 6: Final answer
    x = 163,468.29

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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.