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Finding the Third Proportional to 57.07 and 85.61

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Solution

The third proportional to 57.07 and 85.61 is: 128.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.07 : 85.61 = 85.61 : x
  2. Step 2: Convert to fraction form
    57.07/85.61 = 85.61/x
  3. Step 3: Cross multiply
    57.07x = 85.61 × 85.61
  4. Step 4: Simplify right side
    57.07x = 7,328.30
  5. Step 5: Solve for x
    x = 7,328.30/57.07
  6. Step 6: Final answer
    x = 128.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.