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Finding the Third Proportional to 45,891 and 94,251

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Solution

The third proportional to 45,891 and 94,251 is: 193,572.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,891 : 94,251 = 94,251 : x
  2. Step 2: Convert to fraction form
    45,891/94,251 = 94,251/x
  3. Step 3: Cross multiply
    45,891x = 94,251 × 94,251
  4. Step 4: Simplify right side
    45,891x = 8,883,251,001
  5. Step 5: Solve for x
    x = 8,883,251,001/45,891
  6. Step 6: Final answer
    x = 193,572.84

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.