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Finding the Third Proportional to 102.13 and 205.75

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Solution

The third proportional to 102.13 and 205.75 is: 414.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.13 : 205.75 = 205.75 : x
  2. Step 2: Convert to fraction form
    102.13/205.75 = 205.75/x
  3. Step 3: Cross multiply
    102.13x = 205.75 × 205.75
  4. Step 4: Simplify right side
    102.13x = 42,333.06
  5. Step 5: Solve for x
    x = 42,333.06/102.13
  6. Step 6: Final answer
    x = 414.52

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Why These Related Problems?

These problems maintain the same ratio (2.01) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.