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Finding the Third Proportional to 49,176 and 105,519

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Solution

The third proportional to 49,176 and 105,519 is: 226,416.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,176 : 105,519 = 105,519 : x
  2. Step 2: Convert to fraction form
    49,176/105,519 = 105,519/x
  3. Step 3: Cross multiply
    49,176x = 105,519 × 105,519
  4. Step 4: Simplify right side
    49,176x = 11,134,259,361
  5. Step 5: Solve for x
    x = 11,134,259,361/49,176
  6. Step 6: Final answer
    x = 226,416.53

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.