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Finding the Third Proportional to 137.95 and 194.91

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Solution

The third proportional to 137.95 and 194.91 is: 275.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.95 : 194.91 = 194.91 : x
  2. Step 2: Convert to fraction form
    137.95/194.91 = 194.91/x
  3. Step 3: Cross multiply
    137.95x = 194.91 × 194.91
  4. Step 4: Simplify right side
    137.95x = 37,988.45
  5. Step 5: Solve for x
    x = 37,988.45/137.95
  6. Step 6: Final answer
    x = 275.37

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