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Finding the Third Proportional to 47,740 and 100,278

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Solution

The third proportional to 47,740 and 100,278 is: 210,634.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,740 : 100,278 = 100,278 : x
  2. Step 2: Convert to fraction form
    47,740/100,278 = 100,278/x
  3. Step 3: Cross multiply
    47,740x = 100,278 × 100,278
  4. Step 4: Simplify right side
    47,740x = 10,055,677,284
  5. Step 5: Solve for x
    x = 10,055,677,284/47,740
  6. Step 6: Final answer
    x = 210,634.21

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.