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Finding the Third Proportional to 63.34 and 107.68

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Solution

The third proportional to 63.34 and 107.68 is: 183.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    63.34 : 107.68 = 107.68 : x
  2. Step 2: Convert to fraction form
    63.34/107.68 = 107.68/x
  3. Step 3: Cross multiply
    63.34x = 107.68 × 107.68
  4. Step 4: Simplify right side
    63.34x = 11,595.29
  5. Step 5: Solve for x
    x = 11,595.29/63.34
  6. Step 6: Final answer
    x = 183.06

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Why These Related Problems?

These problems maintain the same ratio (1.70) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.