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Finding the Third Proportional to 96,252 and 209,976

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Solution

The third proportional to 96,252 and 209,976 is: 458,067.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,252 : 209,976 = 209,976 : x
  2. Step 2: Convert to fraction form
    96,252/209,976 = 209,976/x
  3. Step 3: Cross multiply
    96,252x = 209,976 × 209,976
  4. Step 4: Simplify right side
    96,252x = 44,089,920,576
  5. Step 5: Solve for x
    x = 44,089,920,576/96,252
  6. Step 6: Final answer
    x = 458,067.58

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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.