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Finding the Third Proportional to 42.06 and 90.56

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Solution

The third proportional to 42.06 and 90.56 is: 194.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    42.06 : 90.56 = 90.56 : x
  2. Step 2: Convert to fraction form
    42.06/90.56 = 90.56/x
  3. Step 3: Cross multiply
    42.06x = 90.56 × 90.56
  4. Step 4: Simplify right side
    42.06x = 8,201.57
  5. Step 5: Solve for x
    x = 8,201.57/42.06
  6. Step 6: Final answer
    x = 194.99

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.