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Finding the Third Proportional to 57.16 and 117.81

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Solution

The third proportional to 57.16 and 117.81 is: 242.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.16 : 117.81 = 117.81 : x
  2. Step 2: Convert to fraction form
    57.16/117.81 = 117.81/x
  3. Step 3: Cross multiply
    57.16x = 117.81 × 117.81
  4. Step 4: Simplify right side
    57.16x = 13,878.86
  5. Step 5: Solve for x
    x = 13,878.86/57.16
  6. Step 6: Final answer
    x = 242.79

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.