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Finding the Third Proportional to 57.03 and 116.16

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Solution

The third proportional to 57.03 and 116.16 is: 236.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.03 : 116.16 = 116.16 : x
  2. Step 2: Convert to fraction form
    57.03/116.16 = 116.16/x
  3. Step 3: Cross multiply
    57.03x = 116.16 × 116.16
  4. Step 4: Simplify right side
    57.03x = 13,492.27
  5. Step 5: Solve for x
    x = 13,492.27/57.03
  6. Step 6: Final answer
    x = 236.58

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.