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Finding the Third Proportional to 42 and 92.06

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Solution

The third proportional to 42 and 92.06 is: 201.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    42 : 92.06 = 92.06 : x
  2. Step 2: Convert to fraction form
    42/92.06 = 92.06/x
  3. Step 3: Cross multiply
    42x = 92.06 × 92.06
  4. Step 4: Simplify right side
    42x = 8,475.50
  5. Step 5: Solve for x
    x = 8,475.50/42
  6. Step 6: Final answer
    x = 201.80

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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.