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Finding the Third Proportional to 42.19 and 92.26

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Solution

The third proportional to 42.19 and 92.26 is: 201.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    42.19 : 92.26 = 92.26 : x
  2. Step 2: Convert to fraction form
    42.19/92.26 = 92.26/x
  3. Step 3: Cross multiply
    42.19x = 92.26 × 92.26
  4. Step 4: Simplify right side
    42.19x = 8,512.22
  5. Step 5: Solve for x
    x = 8,512.22/42.19
  6. Step 6: Final answer
    x = 201.77

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.