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Finding the Third Proportional to 102.25 and 149.50

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Solution

The third proportional to 102.25 and 149.50 is: 218.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.25 : 149.50 = 149.50 : x
  2. Step 2: Convert to fraction form
    102.25/149.50 = 149.50/x
  3. Step 3: Cross multiply
    102.25x = 149.50 × 149.50
  4. Step 4: Simplify right side
    102.25x = 22,350.25
  5. Step 5: Solve for x
    x = 22,350.25/102.25
  6. Step 6: Final answer
    x = 218.58

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.