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Finding the Third Proportional to 97.94 and 141.09

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Solution

The third proportional to 97.94 and 141.09 is: 203.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.94 : 141.09 = 141.09 : x
  2. Step 2: Convert to fraction form
    97.94/141.09 = 141.09/x
  3. Step 3: Cross multiply
    97.94x = 141.09 × 141.09
  4. Step 4: Simplify right side
    97.94x = 19,907.45
  5. Step 5: Solve for x
    x = 19,907.45/97.94
  6. Step 6: Final answer
    x = 203.27

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.