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Finding the Third Proportional to 69,241.50 and 113,054.25

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Solution

The third proportional to 69,241.50 and 113,054.25 is: 184,589.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,241.50 : 113,054.25 = 113,054.25 : x
  2. Step 2: Convert to fraction form
    69,241.50/113,054.25 = 113,054.25/x
  3. Step 3: Cross multiply
    69,241.50x = 113,054.25 × 113,054.25
  4. Step 4: Simplify right side
    69,241.50x = 12,781,263,443.06
  5. Step 5: Solve for x
    x = 12,781,263,443.06/69,241.50
  6. Step 6: Final answer
    x = 184,589.64

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These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.