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Finding the Third Proportional to 65,619.75 and 140,533.75

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Solution

The third proportional to 65,619.75 and 140,533.75 is: 300,972.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,619.75 : 140,533.75 = 140,533.75 : x
  2. Step 2: Convert to fraction form
    65,619.75/140,533.75 = 140,533.75/x
  3. Step 3: Cross multiply
    65,619.75x = 140,533.75 × 140,533.75
  4. Step 4: Simplify right side
    65,619.75x = 19,749,734,889.06
  5. Step 5: Solve for x
    x = 19,749,734,889.06/65,619.75
  6. Step 6: Final answer
    x = 300,972.42

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.