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Finding the Third Proportional to 50,685.75 and 117,328.50

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Solution

The third proportional to 50,685.75 and 117,328.50 is: 271,594.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,685.75 : 117,328.50 = 117,328.50 : x
  2. Step 2: Convert to fraction form
    50,685.75/117,328.50 = 117,328.50/x
  3. Step 3: Cross multiply
    50,685.75x = 117,328.50 × 117,328.50
  4. Step 4: Simplify right side
    50,685.75x = 13,765,976,912.25
  5. Step 5: Solve for x
    x = 13,765,976,912.25/50,685.75
  6. Step 6: Final answer
    x = 271,594.62

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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.