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Finding the Third Proportional to 88,751 and 193,054

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Solution

The third proportional to 88,751 and 193,054 is: 419,937.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,751 : 193,054 = 193,054 : x
  2. Step 2: Convert to fraction form
    88,751/193,054 = 193,054/x
  3. Step 3: Cross multiply
    88,751x = 193,054 × 193,054
  4. Step 4: Simplify right side
    88,751x = 37,269,846,916
  5. Step 5: Solve for x
    x = 37,269,846,916/88,751
  6. Step 6: Final answer
    x = 419,937.21

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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.