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Finding the Third Proportional to 42,204 and 92,251

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Solution

The third proportional to 42,204 and 92,251 is: 201,645.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,204 : 92,251 = 92,251 : x
  2. Step 2: Convert to fraction form
    42,204/92,251 = 92,251/x
  3. Step 3: Cross multiply
    42,204x = 92,251 × 92,251
  4. Step 4: Simplify right side
    42,204x = 8,510,247,001
  5. Step 5: Solve for x
    x = 8,510,247,001/42,204
  6. Step 6: Final answer
    x = 201,645.51

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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.