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Finding the Third Proportional to 57.16 and 85.59

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Solution

The third proportional to 57.16 and 85.59 is: 128.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.16 : 85.59 = 85.59 : x
  2. Step 2: Convert to fraction form
    57.16/85.59 = 85.59/x
  3. Step 3: Cross multiply
    57.16x = 85.59 × 85.59
  4. Step 4: Simplify right side
    57.16x = 7,326.29
  5. Step 5: Solve for x
    x = 7,326.29/57.16
  6. Step 6: Final answer
    x = 128.18

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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.