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Finding the Third Proportional to 42,115 and 92,149

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Solution

The third proportional to 42,115 and 92,149 is: 201,625.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,115 : 92,149 = 92,149 : x
  2. Step 2: Convert to fraction form
    42,115/92,149 = 92,149/x
  3. Step 3: Cross multiply
    42,115x = 92,149 × 92,149
  4. Step 4: Simplify right side
    42,115x = 8,491,438,201
  5. Step 5: Solve for x
    x = 8,491,438,201/42,115
  6. Step 6: Final answer
    x = 201,625.03

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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.