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Finding the Third Proportional to 96,774 and 146,619

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Solution

The third proportional to 96,774 and 146,619 is: 222,137.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,774 : 146,619 = 146,619 : x
  2. Step 2: Convert to fraction form
    96,774/146,619 = 146,619/x
  3. Step 3: Cross multiply
    96,774x = 146,619 × 146,619
  4. Step 4: Simplify right side
    96,774x = 21,497,131,161
  5. Step 5: Solve for x
    x = 21,497,131,161/96,774
  6. Step 6: Final answer
    x = 222,137.47

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.