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Finding the Third Proportional to 53,968.50 and 118,116

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Solution

The third proportional to 53,968.50 and 118,116 is: 258,509.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,968.50 : 118,116 = 118,116 : x
  2. Step 2: Convert to fraction form
    53,968.50/118,116 = 118,116/x
  3. Step 3: Cross multiply
    53,968.50x = 118,116 × 118,116
  4. Step 4: Simplify right side
    53,968.50x = 13,951,389,456
  5. Step 5: Solve for x
    x = 13,951,389,456/53,968.50
  6. Step 6: Final answer
    x = 258,509.86

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.