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Finding the Third Proportional to 117,600.75 and 177,495.75

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Solution

The third proportional to 117,600.75 and 177,495.75 is: 267,895.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,600.75 : 177,495.75 = 177,495.75 : x
  2. Step 2: Convert to fraction form
    117,600.75/177,495.75 = 177,495.75/x
  3. Step 3: Cross multiply
    117,600.75x = 177,495.75 × 177,495.75
  4. Step 4: Simplify right side
    117,600.75x = 31,504,741,268.06
  5. Step 5: Solve for x
    x = 31,504,741,268.06/117,600.75
  6. Step 6: Final answer
    x = 267,895.75

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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.