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Finding the Third Proportional to 57.75 and 148.88

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Solution

The third proportional to 57.75 and 148.88 is: 383.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.75 : 148.88 = 148.88 : x
  2. Step 2: Convert to fraction form
    57.75/148.88 = 148.88/x
  3. Step 3: Cross multiply
    57.75x = 148.88 × 148.88
  4. Step 4: Simplify right side
    57.75x = 22,163.77
  5. Step 5: Solve for x
    x = 22,163.77/57.75
  6. Step 6: Final answer
    x = 383.79

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Why These Related Problems?

These problems maintain the same ratio (2.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.