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Finding the Third Proportional to 63.09 and 85.78

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Solution

The third proportional to 63.09 and 85.78 is: 116.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    63.09 : 85.78 = 85.78 : x
  2. Step 2: Convert to fraction form
    63.09/85.78 = 85.78/x
  3. Step 3: Cross multiply
    63.09x = 85.78 × 85.78
  4. Step 4: Simplify right side
    63.09x = 7,358.42
  5. Step 5: Solve for x
    x = 7,358.42/63.09
  6. Step 6: Final answer
    x = 116.63

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.