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Finding the Third Proportional to 50,629 and 110,960

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Solution

The third proportional to 50,629 and 110,960 is: 243,183.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,629 : 110,960 = 110,960 : x
  2. Step 2: Convert to fraction form
    50,629/110,960 = 110,960/x
  3. Step 3: Cross multiply
    50,629x = 110,960 × 110,960
  4. Step 4: Simplify right side
    50,629x = 12,312,121,600
  5. Step 5: Solve for x
    x = 12,312,121,600/50,629
  6. Step 6: Final answer
    x = 243,183.19

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.