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Finding the Third Proportional to 51,841 and 113,725.75

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Solution

The third proportional to 51,841 and 113,725.75 is: 249,484.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,841 : 113,725.75 = 113,725.75 : x
  2. Step 2: Convert to fraction form
    51,841/113,725.75 = 113,725.75/x
  3. Step 3: Cross multiply
    51,841x = 113,725.75 × 113,725.75
  4. Step 4: Simplify right side
    51,841x = 12,933,546,213.06
  5. Step 5: Solve for x
    x = 12,933,546,213.06/51,841
  6. Step 6: Final answer
    x = 249,484.89

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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.