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Finding the Third Proportional to 45,927 and 100,278

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Solution

The third proportional to 45,927 and 100,278 is: 218,949.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,927 : 100,278 = 100,278 : x
  2. Step 2: Convert to fraction form
    45,927/100,278 = 100,278/x
  3. Step 3: Cross multiply
    45,927x = 100,278 × 100,278
  4. Step 4: Simplify right side
    45,927x = 10,055,677,284
  5. Step 5: Solve for x
    x = 10,055,677,284/45,927
  6. Step 6: Final answer
    x = 218,949.14

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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.