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Finding the Third Proportional to 51,941.25 and 113,769.56

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Solution

The third proportional to 51,941.25 and 113,769.56 is: 249,195.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,941.25 : 113,769.56 = 113,769.56 : x
  2. Step 2: Convert to fraction form
    51,941.25/113,769.56 = 113,769.56/x
  3. Step 3: Cross multiply
    51,941.25x = 113,769.56 × 113,769.56
  4. Step 4: Simplify right side
    51,941.25x = 12,943,513,351.44
  5. Step 5: Solve for x
    x = 12,943,513,351.44/51,941.25
  6. Step 6: Final answer
    x = 249,195.26

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.