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Finding the Third Proportional to 43,614 and 95,568

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Solution

The third proportional to 43,614 and 95,568 is: 209,410.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,614 : 95,568 = 95,568 : x
  2. Step 2: Convert to fraction form
    43,614/95,568 = 95,568/x
  3. Step 3: Cross multiply
    43,614x = 95,568 × 95,568
  4. Step 4: Simplify right side
    43,614x = 9,133,242,624
  5. Step 5: Solve for x
    x = 9,133,242,624/43,614
  6. Step 6: Final answer
    x = 209,410.80

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.