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Finding the Third Proportional to 129,660 and 211,718

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Solution

The third proportional to 129,660 and 211,718 is: 345,708.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,660 : 211,718 = 211,718 : x
  2. Step 2: Convert to fraction form
    129,660/211,718 = 211,718/x
  3. Step 3: Cross multiply
    129,660x = 211,718 × 211,718
  4. Step 4: Simplify right side
    129,660x = 44,824,511,524
  5. Step 5: Solve for x
    x = 44,824,511,524/129,660
  6. Step 6: Final answer
    x = 345,708.09

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.