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Finding the Third Proportional to 45,891 and 99,126

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Solution

The third proportional to 45,891 and 99,126 is: 214,115.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,891 : 99,126 = 99,126 : x
  2. Step 2: Convert to fraction form
    45,891/99,126 = 99,126/x
  3. Step 3: Cross multiply
    45,891x = 99,126 × 99,126
  4. Step 4: Simplify right side
    45,891x = 9,825,963,876
  5. Step 5: Solve for x
    x = 9,825,963,876/45,891
  6. Step 6: Final answer
    x = 214,115.27

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.