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Finding the Third Proportional to 80,568 and 122,628

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Solution

The third proportional to 80,568 and 122,628 is: 186,645.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,568 : 122,628 = 122,628 : x
  2. Step 2: Convert to fraction form
    80,568/122,628 = 122,628/x
  3. Step 3: Cross multiply
    80,568x = 122,628 × 122,628
  4. Step 4: Simplify right side
    80,568x = 15,037,626,384
  5. Step 5: Solve for x
    x = 15,037,626,384/80,568
  6. Step 6: Final answer
    x = 186,645.15

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.