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Finding the Third Proportional to 49,170 and 105,633

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Solution

The third proportional to 49,170 and 105,633 is: 226,933.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,170 : 105,633 = 105,633 : x
  2. Step 2: Convert to fraction form
    49,170/105,633 = 105,633/x
  3. Step 3: Cross multiply
    49,170x = 105,633 × 105,633
  4. Step 4: Simplify right side
    49,170x = 11,158,330,689
  5. Step 5: Solve for x
    x = 11,158,330,689/49,170
  6. Step 6: Final answer
    x = 226,933.71

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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.