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Finding the Third Proportional to 56,568 and 122,448

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Solution

The third proportional to 56,568 and 122,448 is: 265,052.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,568 : 122,448 = 122,448 : x
  2. Step 2: Convert to fraction form
    56,568/122,448 = 122,448/x
  3. Step 3: Cross multiply
    56,568x = 122,448 × 122,448
  4. Step 4: Simplify right side
    56,568x = 14,993,512,704
  5. Step 5: Solve for x
    x = 14,993,512,704/56,568
  6. Step 6: Final answer
    x = 265,052.90

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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.