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Finding the Third Proportional to 137,751 and 212,860

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Solution

The third proportional to 137,751 and 212,860 is: 328,922.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,751 : 212,860 = 212,860 : x
  2. Step 2: Convert to fraction form
    137,751/212,860 = 212,860/x
  3. Step 3: Cross multiply
    137,751x = 212,860 × 212,860
  4. Step 4: Simplify right side
    137,751x = 45,309,379,600
  5. Step 5: Solve for x
    x = 45,309,379,600/137,751
  6. Step 6: Final answer
    x = 328,922.33

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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.