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Finding the Third Proportional to 49,588 and 103,187

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Solution

The third proportional to 49,588 and 103,187 is: 214,720.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,588 : 103,187 = 103,187 : x
  2. Step 2: Convert to fraction form
    49,588/103,187 = 103,187/x
  3. Step 3: Cross multiply
    49,588x = 103,187 × 103,187
  4. Step 4: Simplify right side
    49,588x = 10,647,556,969
  5. Step 5: Solve for x
    x = 10,647,556,969/49,588
  6. Step 6: Final answer
    x = 214,720.44

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.