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Finding the Third Proportional to 71,361.56 and 156,846.94

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Solution

The third proportional to 71,361.56 and 156,846.94 is: 344,736.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,361.56 : 156,846.94 = 156,846.94 : x
  2. Step 2: Convert to fraction form
    71,361.56/156,846.94 = 156,846.94/x
  3. Step 3: Cross multiply
    71,361.56x = 156,846.94 × 156,846.94
  4. Step 4: Simplify right side
    71,361.56x = 24,600,961,803.13
  5. Step 5: Solve for x
    x = 24,600,961,803.13/71,361.56
  6. Step 6: Final answer
    x = 344,736.87

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.