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Finding the Third Proportional to 50,157 and 108,954

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Solution

The third proportional to 50,157 and 108,954 is: 236,676.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,157 : 108,954 = 108,954 : x
  2. Step 2: Convert to fraction form
    50,157/108,954 = 108,954/x
  3. Step 3: Cross multiply
    50,157x = 108,954 × 108,954
  4. Step 4: Simplify right side
    50,157x = 11,870,974,116
  5. Step 5: Solve for x
    x = 11,870,974,116/50,157
  6. Step 6: Final answer
    x = 236,676.32

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.