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Finding the Third Proportional to 83 and 149.75

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Solution

The third proportional to 83 and 149.75 is: 270.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    83 : 149.75 = 149.75 : x
  2. Step 2: Convert to fraction form
    83/149.75 = 149.75/x
  3. Step 3: Cross multiply
    83x = 149.75 × 149.75
  4. Step 4: Simplify right side
    83x = 22,425.06
  5. Step 5: Solve for x
    x = 22,425.06/83
  6. Step 6: Final answer
    x = 270.18

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Why These Related Problems?

These problems maintain the same ratio (1.80) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.