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Finding the Third Proportional to 42,309.75 and 100,241.25

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Solution

The third proportional to 42,309.75 and 100,241.25 is: 237,493.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,309.75 : 100,241.25 = 100,241.25 : x
  2. Step 2: Convert to fraction form
    42,309.75/100,241.25 = 100,241.25/x
  3. Step 3: Cross multiply
    42,309.75x = 100,241.25 × 100,241.25
  4. Step 4: Simplify right side
    42,309.75x = 10,048,308,201.56
  5. Step 5: Solve for x
    x = 10,048,308,201.56/42,309.75
  6. Step 6: Final answer
    x = 237,493.92

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These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.