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Finding the Third Proportional to 68,745.75 and 144,410.25

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Solution

The third proportional to 68,745.75 and 144,410.25 is: 303,354.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,745.75 : 144,410.25 = 144,410.25 : x
  2. Step 2: Convert to fraction form
    68,745.75/144,410.25 = 144,410.25/x
  3. Step 3: Cross multiply
    68,745.75x = 144,410.25 × 144,410.25
  4. Step 4: Simplify right side
    68,745.75x = 20,854,320,305.06
  5. Step 5: Solve for x
    x = 20,854,320,305.06/68,745.75
  6. Step 6: Final answer
    x = 303,354.32

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.