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Finding the Third Proportional to 53,581.50 and 80,858.25

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Solution

The third proportional to 53,581.50 and 80,858.25 is: 122,020.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,581.50 : 80,858.25 = 80,858.25 : x
  2. Step 2: Convert to fraction form
    53,581.50/80,858.25 = 80,858.25/x
  3. Step 3: Cross multiply
    53,581.50x = 80,858.25 × 80,858.25
  4. Step 4: Simplify right side
    53,581.50x = 6,538,056,593.06
  5. Step 5: Solve for x
    x = 6,538,056,593.06/53,581.50
  6. Step 6: Final answer
    x = 122,020.78

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.