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Finding the Third Proportional to 57,949 and 122,125

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Solution

The third proportional to 57,949 and 122,125 is: 257,373.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,949 : 122,125 = 122,125 : x
  2. Step 2: Convert to fraction form
    57,949/122,125 = 122,125/x
  3. Step 3: Cross multiply
    57,949x = 122,125 × 122,125
  4. Step 4: Simplify right side
    57,949x = 14,914,515,625
  5. Step 5: Solve for x
    x = 14,914,515,625/57,949
  6. Step 6: Final answer
    x = 257,373.13

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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.