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Finding the Third Proportional to 94.68 and 131.70

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Solution

The third proportional to 94.68 and 131.70 is: 183.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    94.68 : 131.70 = 131.70 : x
  2. Step 2: Convert to fraction form
    94.68/131.70 = 131.70/x
  3. Step 3: Cross multiply
    94.68x = 131.70 × 131.70
  4. Step 4: Simplify right side
    94.68x = 17,345.97
  5. Step 5: Solve for x
    x = 17,345.97/94.68
  6. Step 6: Final answer
    x = 183.20

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.