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Finding the Third Proportional to 97 and 134

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Solution

The third proportional to 97 and 134 is: 185.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    97 : 134 = 134 : x
  2. Step 2: Convert to fraction form
    97/134 = 134/x
  3. Step 3: Cross multiply
    97x = 134 × 134
  4. Step 4: Simplify right side
    97x = 17,956
  5. Step 5: Solve for x
    x = 17,956/97
  6. Step 6: Final answer
    x = 185.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.