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Finding the Third Proportional to 54.42 and 116.02

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Solution

The third proportional to 54.42 and 116.02 is: 247.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.42 : 116.02 = 116.02 : x
  2. Step 2: Convert to fraction form
    54.42/116.02 = 116.02/x
  3. Step 3: Cross multiply
    54.42x = 116.02 × 116.02
  4. Step 4: Simplify right side
    54.42x = 13,459.63
  5. Step 5: Solve for x
    x = 13,459.63/54.42
  6. Step 6: Final answer
    x = 247.32

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.