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Finding the Third Proportional to 129.53 and 194.92

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Solution

The third proportional to 129.53 and 194.92 is: 293.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.53 : 194.92 = 194.92 : x
  2. Step 2: Convert to fraction form
    129.53/194.92 = 194.92/x
  3. Step 3: Cross multiply
    129.53x = 194.92 × 194.92
  4. Step 4: Simplify right side
    129.53x = 37,994.54
  5. Step 5: Solve for x
    x = 37,994.54/129.53
  6. Step 6: Final answer
    x = 293.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.