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Finding the Third Proportional to 34,231.50 and 73,518.75

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Solution

The third proportional to 34,231.50 and 73,518.75 is: 157,895.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,231.50 : 73,518.75 = 73,518.75 : x
  2. Step 2: Convert to fraction form
    34,231.50/73,518.75 = 73,518.75/x
  3. Step 3: Cross multiply
    34,231.50x = 73,518.75 × 73,518.75
  4. Step 4: Simplify right side
    34,231.50x = 5,405,006,601.56
  5. Step 5: Solve for x
    x = 5,405,006,601.56/34,231.50
  6. Step 6: Final answer
    x = 157,895.70

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.