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Finding the Third Proportional to 49,309.50 and 104,763

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Solution

The third proportional to 49,309.50 and 104,763 is: 222,579.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,309.50 : 104,763 = 104,763 : x
  2. Step 2: Convert to fraction form
    49,309.50/104,763 = 104,763/x
  3. Step 3: Cross multiply
    49,309.50x = 104,763 × 104,763
  4. Step 4: Simplify right side
    49,309.50x = 10,975,286,169
  5. Step 5: Solve for x
    x = 10,975,286,169/49,309.50
  6. Step 6: Final answer
    x = 222,579.55

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.