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Finding the Third Proportional to 46,077 and 100,493

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Solution

The third proportional to 46,077 and 100,493 is: 219,173.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,077 : 100,493 = 100,493 : x
  2. Step 2: Convert to fraction form
    46,077/100,493 = 100,493/x
  3. Step 3: Cross multiply
    46,077x = 100,493 × 100,493
  4. Step 4: Simplify right side
    46,077x = 10,098,843,049
  5. Step 5: Solve for x
    x = 10,098,843,049/46,077
  6. Step 6: Final answer
    x = 219,173.19

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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.