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Finding the Third Proportional to 56.94 and 115.47

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Solution

The third proportional to 56.94 and 115.47 is: 234.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    56.94 : 115.47 = 115.47 : x
  2. Step 2: Convert to fraction form
    56.94/115.47 = 115.47/x
  3. Step 3: Cross multiply
    56.94x = 115.47 × 115.47
  4. Step 4: Simplify right side
    56.94x = 13,333.03
  5. Step 5: Solve for x
    x = 13,333.03/56.94
  6. Step 6: Final answer
    x = 234.17

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.