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Finding the Third Proportional to 56.74 and 107.30

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Solution

The third proportional to 56.74 and 107.30 is: 202.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    56.74 : 107.30 = 107.30 : x
  2. Step 2: Convert to fraction form
    56.74/107.30 = 107.30/x
  3. Step 3: Cross multiply
    56.74x = 107.30 × 107.30
  4. Step 4: Simplify right side
    56.74x = 11,512.62
  5. Step 5: Solve for x
    x = 11,512.62/56.74
  6. Step 6: Final answer
    x = 202.89

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Why These Related Problems?

These problems maintain the same ratio (1.89) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.