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Finding the Third Proportional to 63.50 and 108.25

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Solution

The third proportional to 63.50 and 108.25 is: 184.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    63.50 : 108.25 = 108.25 : x
  2. Step 2: Convert to fraction form
    63.50/108.25 = 108.25/x
  3. Step 3: Cross multiply
    63.50x = 108.25 × 108.25
  4. Step 4: Simplify right side
    63.50x = 11,718.06
  5. Step 5: Solve for x
    x = 11,718.06/63.50
  6. Step 6: Final answer
    x = 184.54

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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.