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Finding the Third Proportional to 34,564.50 and 80,939.25

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Solution

The third proportional to 34,564.50 and 80,939.25 is: 189,534.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,564.50 : 80,939.25 = 80,939.25 : x
  2. Step 2: Convert to fraction form
    34,564.50/80,939.25 = 80,939.25/x
  3. Step 3: Cross multiply
    34,564.50x = 80,939.25 × 80,939.25
  4. Step 4: Simplify right side
    34,564.50x = 6,551,162,190.56
  5. Step 5: Solve for x
    x = 6,551,162,190.56/34,564.50
  6. Step 6: Final answer
    x = 189,534.41

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.