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Finding the Third Proportional to 50,756 and 122,129

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Solution

The third proportional to 50,756 and 122,129 is: 293,866.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,756 : 122,129 = 122,129 : x
  2. Step 2: Convert to fraction form
    50,756/122,129 = 122,129/x
  3. Step 3: Cross multiply
    50,756x = 122,129 × 122,129
  4. Step 4: Simplify right side
    50,756x = 14,915,492,641
  5. Step 5: Solve for x
    x = 14,915,492,641/50,756
  6. Step 6: Final answer
    x = 293,866.59

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.