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Finding the Third Proportional to 92.63 and 187.69

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Solution

The third proportional to 92.63 and 187.69 is: 380.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.63 : 187.69 = 187.69 : x
  2. Step 2: Convert to fraction form
    92.63/187.69 = 187.69/x
  3. Step 3: Cross multiply
    92.63x = 187.69 × 187.69
  4. Step 4: Simplify right side
    92.63x = 35,226.60
  5. Step 5: Solve for x
    x = 35,226.60/92.63
  6. Step 6: Final answer
    x = 380.31

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.