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Finding the Third Proportional to 57,257 and 122,992

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Solution

The third proportional to 57,257 and 122,992 is: 264,195.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,257 : 122,992 = 122,992 : x
  2. Step 2: Convert to fraction form
    57,257/122,992 = 122,992/x
  3. Step 3: Cross multiply
    57,257x = 122,992 × 122,992
  4. Step 4: Simplify right side
    57,257x = 15,127,032,064
  5. Step 5: Solve for x
    x = 15,127,032,064/57,257
  6. Step 6: Final answer
    x = 264,195.33

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.