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Finding the Third Proportional to 102.50 and 150

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Solution

The third proportional to 102.50 and 150 is: 219.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.50 : 150 = 150 : x
  2. Step 2: Convert to fraction form
    102.50/150 = 150/x
  3. Step 3: Cross multiply
    102.50x = 150 × 150
  4. Step 4: Simplify right side
    102.50x = 22,500
  5. Step 5: Solve for x
    x = 22,500/102.50
  6. Step 6: Final answer
    x = 219.51

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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.