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Finding the Third Proportional to 92.06 and 140.19

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Solution

The third proportional to 92.06 and 140.19 is: 213.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.06 : 140.19 = 140.19 : x
  2. Step 2: Convert to fraction form
    92.06/140.19 = 140.19/x
  3. Step 3: Cross multiply
    92.06x = 140.19 × 140.19
  4. Step 4: Simplify right side
    92.06x = 19,652.54
  5. Step 5: Solve for x
    x = 19,652.54/92.06
  6. Step 6: Final answer
    x = 213.47

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.