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Finding the Third Proportional to 50,983 and 111,182

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Solution

The third proportional to 50,983 and 111,182 is: 242,461.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,983 : 111,182 = 111,182 : x
  2. Step 2: Convert to fraction form
    50,983/111,182 = 111,182/x
  3. Step 3: Cross multiply
    50,983x = 111,182 × 111,182
  4. Step 4: Simplify right side
    50,983x = 12,361,437,124
  5. Step 5: Solve for x
    x = 12,361,437,124/50,983
  6. Step 6: Final answer
    x = 242,461.94

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.