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Finding the Third Proportional to 53,584.88 and 117,743.63

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Solution

The third proportional to 53,584.88 and 117,743.63 is: 258,721.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,584.88 : 117,743.63 = 117,743.63 : x
  2. Step 2: Convert to fraction form
    53,584.88/117,743.63 = 117,743.63/x
  3. Step 3: Cross multiply
    53,584.88x = 117,743.63 × 117,743.63
  4. Step 4: Simplify right side
    53,584.88x = 13,863,561,228.14
  5. Step 5: Solve for x
    x = 13,863,561,228.14/53,584.88
  6. Step 6: Final answer
    x = 258,721.54

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.