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Finding the Third Proportional to 50,256.50 and 105,679

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Solution

The third proportional to 50,256.50 and 105,679 is: 222,221.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,256.50 : 105,679 = 105,679 : x
  2. Step 2: Convert to fraction form
    50,256.50/105,679 = 105,679/x
  3. Step 3: Cross multiply
    50,256.50x = 105,679 × 105,679
  4. Step 4: Simplify right side
    50,256.50x = 11,168,051,041
  5. Step 5: Solve for x
    x = 11,168,051,041/50,256.50
  6. Step 6: Final answer
    x = 222,221.03

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.