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Finding the Third Proportional to 102.25 and 110.50

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Solution

The third proportional to 102.25 and 110.50 is: 119.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.25 : 110.50 = 110.50 : x
  2. Step 2: Convert to fraction form
    102.25/110.50 = 110.50/x
  3. Step 3: Cross multiply
    102.25x = 110.50 × 110.50
  4. Step 4: Simplify right side
    102.25x = 12,210.25
  5. Step 5: Solve for x
    x = 12,210.25/102.25
  6. Step 6: Final answer
    x = 119.42

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Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.