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Finding the Third Proportional to 47,062 and 100,673

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Solution

The third proportional to 47,062 and 100,673 is: 215,355.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,062 : 100,673 = 100,673 : x
  2. Step 2: Convert to fraction form
    47,062/100,673 = 100,673/x
  3. Step 3: Cross multiply
    47,062x = 100,673 × 100,673
  4. Step 4: Simplify right side
    47,062x = 10,135,052,929
  5. Step 5: Solve for x
    x = 10,135,052,929/47,062
  6. Step 6: Final answer
    x = 215,355.34

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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.