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Finding the Third Proportional to 49,798 and 107,519

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Solution

The third proportional to 49,798 and 107,519 is: 232,144.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,798 : 107,519 = 107,519 : x
  2. Step 2: Convert to fraction form
    49,798/107,519 = 107,519/x
  3. Step 3: Cross multiply
    49,798x = 107,519 × 107,519
  4. Step 4: Simplify right side
    49,798x = 11,560,335,361
  5. Step 5: Solve for x
    x = 11,560,335,361/49,798
  6. Step 6: Final answer
    x = 232,144.57

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.