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Finding the Third Proportional to 27,950 and 61,234

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Solution

The third proportional to 27,950 and 61,234 is: 134,153.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,950 : 61,234 = 61,234 : x
  2. Step 2: Convert to fraction form
    27,950/61,234 = 61,234/x
  3. Step 3: Cross multiply
    27,950x = 61,234 × 61,234
  4. Step 4: Simplify right side
    27,950x = 3,749,602,756
  5. Step 5: Solve for x
    x = 3,749,602,756/27,950
  6. Step 6: Final answer
    x = 134,153.94

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.