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Finding the Third Proportional to 34,105.50 and 72,947.25

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Solution

The third proportional to 34,105.50 and 72,947.25 is: 156,024.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,105.50 : 72,947.25 = 72,947.25 : x
  2. Step 2: Convert to fraction form
    34,105.50/72,947.25 = 72,947.25/x
  3. Step 3: Cross multiply
    34,105.50x = 72,947.25 × 72,947.25
  4. Step 4: Simplify right side
    34,105.50x = 5,321,301,282.56
  5. Step 5: Solve for x
    x = 5,321,301,282.56/34,105.50
  6. Step 6: Final answer
    x = 156,024.73

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.