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Finding the Third Proportional to 56,568 and 80,422

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Solution

The third proportional to 56,568 and 80,422 is: 114,334.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,568 : 80,422 = 80,422 : x
  2. Step 2: Convert to fraction form
    56,568/80,422 = 80,422/x
  3. Step 3: Cross multiply
    56,568x = 80,422 × 80,422
  4. Step 4: Simplify right side
    56,568x = 6,467,698,084
  5. Step 5: Solve for x
    x = 6,467,698,084/56,568
  6. Step 6: Final answer
    x = 114,334.93

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.