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Finding the Third Proportional to 34,512.75 and 71,185.50

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Solution

The third proportional to 34,512.75 and 71,185.50 is: 146,826.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,512.75 : 71,185.50 = 71,185.50 : x
  2. Step 2: Convert to fraction form
    34,512.75/71,185.50 = 71,185.50/x
  3. Step 3: Cross multiply
    34,512.75x = 71,185.50 × 71,185.50
  4. Step 4: Simplify right side
    34,512.75x = 5,067,375,410.25
  5. Step 5: Solve for x
    x = 5,067,375,410.25/34,512.75
  6. Step 6: Final answer
    x = 146,826.18

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These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.