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Finding the Third Proportional to 57.88 and 114.25

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Solution

The third proportional to 57.88 and 114.25 is: 225.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.88 : 114.25 = 114.25 : x
  2. Step 2: Convert to fraction form
    57.88/114.25 = 114.25/x
  3. Step 3: Cross multiply
    57.88x = 114.25 × 114.25
  4. Step 4: Simplify right side
    57.88x = 13,053.06
  5. Step 5: Solve for x
    x = 13,053.06/57.88
  6. Step 6: Final answer
    x = 225.54

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.