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Finding the Third Proportional to 94,751 and 202,631

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Solution

The third proportional to 94,751 and 202,631 is: 433,339.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,751 : 202,631 = 202,631 : x
  2. Step 2: Convert to fraction form
    94,751/202,631 = 202,631/x
  3. Step 3: Cross multiply
    94,751x = 202,631 × 202,631
  4. Step 4: Simplify right side
    94,751x = 41,059,322,161
  5. Step 5: Solve for x
    x = 41,059,322,161/94,751
  6. Step 6: Final answer
    x = 433,339.20

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.