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Finding the Third Proportional to 72,675 and 109,086

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Solution

The third proportional to 72,675 and 109,086 is: 163,739.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,675 : 109,086 = 109,086 : x
  2. Step 2: Convert to fraction form
    72,675/109,086 = 109,086/x
  3. Step 3: Cross multiply
    72,675x = 109,086 × 109,086
  4. Step 4: Simplify right side
    72,675x = 11,899,755,396
  5. Step 5: Solve for x
    x = 11,899,755,396/72,675
  6. Step 6: Final answer
    x = 163,739.32

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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.