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Finding the Third Proportional to 57,408.75 and 122,168.25

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Solution

The third proportional to 57,408.75 and 122,168.25 is: 259,979.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,408.75 : 122,168.25 = 122,168.25 : x
  2. Step 2: Convert to fraction form
    57,408.75/122,168.25 = 122,168.25/x
  3. Step 3: Cross multiply
    57,408.75x = 122,168.25 × 122,168.25
  4. Step 4: Simplify right side
    57,408.75x = 14,925,081,308.06
  5. Step 5: Solve for x
    x = 14,925,081,308.06/57,408.75
  6. Step 6: Final answer
    x = 259,979.21

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.