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Finding the Third Proportional to 54.28 and 125.58

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Solution

The third proportional to 54.28 and 125.58 is: 290.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.28 : 125.58 = 125.58 : x
  2. Step 2: Convert to fraction form
    54.28/125.58 = 125.58/x
  3. Step 3: Cross multiply
    54.28x = 125.58 × 125.58
  4. Step 4: Simplify right side
    54.28x = 15,769.87
  5. Step 5: Solve for x
    x = 15,769.87/54.28
  6. Step 6: Final answer
    x = 290.52

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.