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Finding the Third Proportional to 50,457 and 118,941

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Solution

The third proportional to 50,457 and 118,941 is: 280,376.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,457 : 118,941 = 118,941 : x
  2. Step 2: Convert to fraction form
    50,457/118,941 = 118,941/x
  3. Step 3: Cross multiply
    50,457x = 118,941 × 118,941
  4. Step 4: Simplify right side
    50,457x = 14,146,961,481
  5. Step 5: Solve for x
    x = 14,146,961,481/50,457
  6. Step 6: Final answer
    x = 280,376.59

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.