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Finding the Third Proportional to 57,936.94 and 122,101.88

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Solution

The third proportional to 57,936.94 and 122,101.88 is: 257,329.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,936.94 : 122,101.88 = 122,101.88 : x
  2. Step 2: Convert to fraction form
    57,936.94/122,101.88 = 122,101.88/x
  3. Step 3: Cross multiply
    57,936.94x = 122,101.88 × 122,101.88
  4. Step 4: Simplify right side
    57,936.94x = 14,908,867,878.52
  5. Step 5: Solve for x
    x = 14,908,867,878.52/57,936.94
  6. Step 6: Final answer
    x = 257,329.24

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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.