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Finding the Third Proportional to 72,832.50 and 109,764.75

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Solution

The third proportional to 72,832.50 and 109,764.75 is: 165,424.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,832.50 : 109,764.75 = 109,764.75 : x
  2. Step 2: Convert to fraction form
    72,832.50/109,764.75 = 109,764.75/x
  3. Step 3: Cross multiply
    72,832.50x = 109,764.75 × 109,764.75
  4. Step 4: Simplify right side
    72,832.50x = 12,048,300,342.56
  5. Step 5: Solve for x
    x = 12,048,300,342.56/72,832.50
  6. Step 6: Final answer
    x = 165,424.78

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.