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Finding the Third Proportional to 50,766.75 and 117,505.69

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Solution

The third proportional to 50,766.75 and 117,505.69 is: 271,980.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,766.75 : 117,505.69 = 117,505.69 : x
  2. Step 2: Convert to fraction form
    50,766.75/117,505.69 = 117,505.69/x
  3. Step 3: Cross multiply
    50,766.75x = 117,505.69 × 117,505.69
  4. Step 4: Simplify right side
    50,766.75x = 13,807,586,594.85
  5. Step 5: Solve for x
    x = 13,807,586,594.85/50,766.75
  6. Step 6: Final answer
    x = 271,980.90

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These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.