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Finding the Third Proportional to 34,216.59 and 73,161.56

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Solution

The third proportional to 34,216.59 and 73,161.56 is: 156,433.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,216.59 : 73,161.56 = 73,161.56 : x
  2. Step 2: Convert to fraction form
    34,216.59/73,161.56 = 73,161.56/x
  3. Step 3: Cross multiply
    34,216.59x = 73,161.56 × 73,161.56
  4. Step 4: Simplify right side
    34,216.59x = 5,352,614,227.44
  5. Step 5: Solve for x
    x = 5,352,614,227.44/34,216.59
  6. Step 6: Final answer
    x = 156,433.29

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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.