How do I add target="_blank" to a link within a specified div?

Non-jquery:

// Very old browsers
// var linkList = document.getElementById('link_other').getElementsByTagName('a');

// New browsers (IE8+)
var linkList = document.querySelectorAll('#link_other a');

for(var i in linkList){
 linkList[i].setAttribute('target', '_blank');
}

/* here are two different ways to do this */
//using jquery:
$(document).ready(function(){
  $('#link_other a').attr('target', '_blank');
});

// not using jquery
window.onload = function(){
  var anchors = document.getElementById('link_other').getElementsByTagName('a');
  for (var i=0; i<anchors.length; i++){
    anchors[i].setAttribute('target', '_blank');
  }
}
// jquery is prettier. :-)

You could also add a title tag to notify the user that you are doing this, to warn them, because as has been pointed out, it's not what users expect:

$('#link_other a').attr('target', '_blank').attr('title','This link will open in a new window.');