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Finding the Third Proportional to 73,734.75 and 161,268.75

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Solution

The third proportional to 73,734.75 and 161,268.75 is: 352,718.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,734.75 : 161,268.75 = 161,268.75 : x
  2. Step 2: Convert to fraction form
    73,734.75/161,268.75 = 161,268.75/x
  3. Step 3: Cross multiply
    73,734.75x = 161,268.75 × 161,268.75
  4. Step 4: Simplify right side
    73,734.75x = 26,007,609,726.56
  5. Step 5: Solve for x
    x = 26,007,609,726.56/73,734.75
  6. Step 6: Final answer
    x = 352,718.49

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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.