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Finding the Third Proportional to 72,512.44 and 158,964.75

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Solution

The third proportional to 72,512.44 and 158,964.75 is: 348,489.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,512.44 : 158,964.75 = 158,964.75 : x
  2. Step 2: Convert to fraction form
    72,512.44/158,964.75 = 158,964.75/x
  3. Step 3: Cross multiply
    72,512.44x = 158,964.75 × 158,964.75
  4. Step 4: Simplify right side
    72,512.44x = 25,269,791,742.56
  5. Step 5: Solve for x
    x = 25,269,791,742.56/72,512.44
  6. Step 6: Final answer
    x = 348,489.07

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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.