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Finding the Third Proportional to 101.20 and 194.53

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Solution

The third proportional to 101.20 and 194.53 is: 373.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.20 : 194.53 = 194.53 : x
  2. Step 2: Convert to fraction form
    101.20/194.53 = 194.53/x
  3. Step 3: Cross multiply
    101.20x = 194.53 × 194.53
  4. Step 4: Simplify right side
    101.20x = 37,842.41
  5. Step 5: Solve for x
    x = 37,842.41/101.20
  6. Step 6: Final answer
    x = 373.93

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Why These Related Problems?

These problems maintain the same ratio (1.92) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.