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Finding the Third Proportional to 138.09 and 195.05

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Solution

The third proportional to 138.09 and 195.05 is: 275.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.09 : 195.05 = 195.05 : x
  2. Step 2: Convert to fraction form
    138.09/195.05 = 195.05/x
  3. Step 3: Cross multiply
    138.09x = 195.05 × 195.05
  4. Step 4: Simplify right side
    138.09x = 38,043.28
  5. Step 5: Solve for x
    x = 38,043.28/138.09
  6. Step 6: Final answer
    x = 275.49

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.