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Finding the Third Proportional to 53,584.88 and 117,679.50

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Solution

The third proportional to 53,584.88 and 117,679.50 is: 258,439.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,584.88 : 117,679.50 = 117,679.50 : x
  2. Step 2: Convert to fraction form
    53,584.88/117,679.50 = 117,679.50/x
  3. Step 3: Cross multiply
    53,584.88x = 117,679.50 × 117,679.50
  4. Step 4: Simplify right side
    53,584.88x = 13,848,464,720.25
  5. Step 5: Solve for x
    x = 13,848,464,720.25/53,584.88
  6. Step 6: Final answer
    x = 258,439.81

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Why These Related Problems?

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