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Finding the Third Proportional to 49.75 and 102

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Solution

The third proportional to 49.75 and 102 is: 209.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    49.75 : 102 = 102 : x
  2. Step 2: Convert to fraction form
    49.75/102 = 102/x
  3. Step 3: Cross multiply
    49.75x = 102 × 102
  4. Step 4: Simplify right side
    49.75x = 10,404
  5. Step 5: Solve for x
    x = 10,404/49.75
  6. Step 6: Final answer
    x = 209.13

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.