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Finding the Third Proportional to 57,924.53 and 119,568.46

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Solution

The third proportional to 57,924.53 and 119,568.46 is: 246,814.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,924.53 : 119,568.46 = 119,568.46 : x
  2. Step 2: Convert to fraction form
    57,924.53/119,568.46 = 119,568.46/x
  3. Step 3: Cross multiply
    57,924.53x = 119,568.46 × 119,568.46
  4. Step 4: Simplify right side
    57,924.53x = 14,296,616,267.13
  5. Step 5: Solve for x
    x = 14,296,616,267.13/57,924.53
  6. Step 6: Final answer
    x = 246,814.53

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.