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Finding the Third Proportional to 61.94 and 143.38

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Solution

The third proportional to 61.94 and 143.38 is: 331.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.94 : 143.38 = 143.38 : x
  2. Step 2: Convert to fraction form
    61.94/143.38 = 143.38/x
  3. Step 3: Cross multiply
    61.94x = 143.38 × 143.38
  4. Step 4: Simplify right side
    61.94x = 20,556.39
  5. Step 5: Solve for x
    x = 20,556.39/61.94
  6. Step 6: Final answer
    x = 331.89

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.