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Finding the Third Proportional to 74,883.75 and 161,184.75

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Solution

The third proportional to 74,883.75 and 161,184.75 is: 346,944.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,883.75 : 161,184.75 = 161,184.75 : x
  2. Step 2: Convert to fraction form
    74,883.75/161,184.75 = 161,184.75/x
  3. Step 3: Cross multiply
    74,883.75x = 161,184.75 × 161,184.75
  4. Step 4: Simplify right side
    74,883.75x = 25,980,523,632.56
  5. Step 5: Solve for x
    x = 25,980,523,632.56/74,883.75
  6. Step 6: Final answer
    x = 346,944.75

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.