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Finding the Third Proportional to 49,011 and 107,361

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Solution

The third proportional to 49,011 and 107,361 is: 235,179.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,011 : 107,361 = 107,361 : x
  2. Step 2: Convert to fraction form
    49,011/107,361 = 107,361/x
  3. Step 3: Cross multiply
    49,011x = 107,361 × 107,361
  4. Step 4: Simplify right side
    49,011x = 11,526,384,321
  5. Step 5: Solve for x
    x = 11,526,384,321/49,011
  6. Step 6: Final answer
    x = 235,179.54

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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.