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Finding the Third Proportional to 50,161.50 and 108,963

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Solution

The third proportional to 50,161.50 and 108,963 is: 236,694.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,161.50 : 108,963 = 108,963 : x
  2. Step 2: Convert to fraction form
    50,161.50/108,963 = 108,963/x
  3. Step 3: Cross multiply
    50,161.50x = 108,963 × 108,963
  4. Step 4: Simplify right side
    50,161.50x = 11,872,935,369
  5. Step 5: Solve for x
    x = 11,872,935,369/50,161.50
  6. Step 6: Final answer
    x = 236,694.19

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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.