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Finding the Third Proportional to 97 and 137.50

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Solution

The third proportional to 97 and 137.50 is: 194.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    97 : 137.50 = 137.50 : x
  2. Step 2: Convert to fraction form
    97/137.50 = 137.50/x
  3. Step 3: Cross multiply
    97x = 137.50 × 137.50
  4. Step 4: Simplify right side
    97x = 18,906.25
  5. Step 5: Solve for x
    x = 18,906.25/97
  6. Step 6: Final answer
    x = 194.91

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.