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Finding the Third Proportional to 41,901 and 91,333

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Solution

The third proportional to 41,901 and 91,333 is: 199,081.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,901 : 91,333 = 91,333 : x
  2. Step 2: Convert to fraction form
    41,901/91,333 = 91,333/x
  3. Step 3: Cross multiply
    41,901x = 91,333 × 91,333
  4. Step 4: Simplify right side
    41,901x = 8,341,716,889
  5. Step 5: Solve for x
    x = 8,341,716,889/41,901
  6. Step 6: Final answer
    x = 199,081.57

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.