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Finding the Third Proportional to 46,751 and 101,278

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Solution

The third proportional to 46,751 and 101,278 is: 219,401.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,751 : 101,278 = 101,278 : x
  2. Step 2: Convert to fraction form
    46,751/101,278 = 101,278/x
  3. Step 3: Cross multiply
    46,751x = 101,278 × 101,278
  4. Step 4: Simplify right side
    46,751x = 10,257,233,284
  5. Step 5: Solve for x
    x = 10,257,233,284/46,751
  6. Step 6: Final answer
    x = 219,401.37

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.