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Finding the Third Proportional to 65,847.75 and 142,224.75

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Solution

The third proportional to 65,847.75 and 142,224.75 is: 307,191.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,847.75 : 142,224.75 = 142,224.75 : x
  2. Step 2: Convert to fraction form
    65,847.75/142,224.75 = 142,224.75/x
  3. Step 3: Cross multiply
    65,847.75x = 142,224.75 × 142,224.75
  4. Step 4: Simplify right side
    65,847.75x = 20,227,879,512.56
  5. Step 5: Solve for x
    x = 20,227,879,512.56/65,847.75
  6. Step 6: Final answer
    x = 307,191.66

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.