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Finding the Third Proportional to 104,715 and 140,460.75

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Solution

The third proportional to 104,715 and 140,460.75 is: 188,408.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,715 : 140,460.75 = 140,460.75 : x
  2. Step 2: Convert to fraction form
    104,715/140,460.75 = 140,460.75/x
  3. Step 3: Cross multiply
    104,715x = 140,460.75 × 140,460.75
  4. Step 4: Simplify right side
    104,715x = 19,729,222,290.56
  5. Step 5: Solve for x
    x = 19,729,222,290.56/104,715
  6. Step 6: Final answer
    x = 188,408.75

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.