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Finding the Third Proportional to 136,091 and 211,589

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Solution

The third proportional to 136,091 and 211,589 is: 328,970.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,091 : 211,589 = 211,589 : x
  2. Step 2: Convert to fraction form
    136,091/211,589 = 211,589/x
  3. Step 3: Cross multiply
    136,091x = 211,589 × 211,589
  4. Step 4: Simplify right side
    136,091x = 44,769,904,921
  5. Step 5: Solve for x
    x = 44,769,904,921/136,091
  6. Step 6: Final answer
    x = 328,970.36

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.