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Finding the Third Proportional to 42,268 and 92,936

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Solution

The third proportional to 42,268 and 92,936 is: 204,341.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,268 : 92,936 = 92,936 : x
  2. Step 2: Convert to fraction form
    42,268/92,936 = 92,936/x
  3. Step 3: Cross multiply
    42,268x = 92,936 × 92,936
  4. Step 4: Simplify right side
    42,268x = 8,637,100,096
  5. Step 5: Solve for x
    x = 8,637,100,096/42,268
  6. Step 6: Final answer
    x = 204,341.35

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.