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Finding the Third Proportional to 45,774 and 96,975

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Solution

The third proportional to 45,774 and 96,975 is: 205,447.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,774 : 96,975 = 96,975 : x
  2. Step 2: Convert to fraction form
    45,774/96,975 = 96,975/x
  3. Step 3: Cross multiply
    45,774x = 96,975 × 96,975
  4. Step 4: Simplify right side
    45,774x = 9,404,150,625
  5. Step 5: Solve for x
    x = 9,404,150,625/45,774
  6. Step 6: Final answer
    x = 205,447.43

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.