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Finding the Third Proportional to 57,963.94 and 122,156.44

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Solution

The third proportional to 57,963.94 and 122,156.44 is: 257,439.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,963.94 : 122,156.44 = 122,156.44 : x
  2. Step 2: Convert to fraction form
    57,963.94/122,156.44 = 122,156.44/x
  3. Step 3: Cross multiply
    57,963.94x = 122,156.44 × 122,156.44
  4. Step 4: Simplify right side
    57,963.94x = 14,922,195,222.69
  5. Step 5: Solve for x
    x = 14,922,195,222.69/57,963.94
  6. Step 6: Final answer
    x = 257,439.30

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.