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Finding the Third Proportional to 83.50 and 122

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Solution

The third proportional to 83.50 and 122 is: 178.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.50 : 122 = 122 : x
  2. Step 2: Convert to fraction form
    83.50/122 = 122/x
  3. Step 3: Cross multiply
    83.50x = 122 × 122
  4. Step 4: Simplify right side
    83.50x = 14,884
  5. Step 5: Solve for x
    x = 14,884/83.50
  6. Step 6: Final answer
    x = 178.25

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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.