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Finding the Third Proportional to 135,137 and 211,987

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Solution

The third proportional to 135,137 and 211,987 is: 332,540.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,137 : 211,987 = 211,987 : x
  2. Step 2: Convert to fraction form
    135,137/211,987 = 211,987/x
  3. Step 3: Cross multiply
    135,137x = 211,987 × 211,987
  4. Step 4: Simplify right side
    135,137x = 44,938,488,169
  5. Step 5: Solve for x
    x = 44,938,488,169/135,137
  6. Step 6: Final answer
    x = 332,540.22

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.