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Finding the Third Proportional to 50,718 and 108,906

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Solution

The third proportional to 50,718 and 108,906 is: 233,852.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,718 : 108,906 = 108,906 : x
  2. Step 2: Convert to fraction form
    50,718/108,906 = 108,906/x
  3. Step 3: Cross multiply
    50,718x = 108,906 × 108,906
  4. Step 4: Simplify right side
    50,718x = 11,860,516,836
  5. Step 5: Solve for x
    x = 11,860,516,836/50,718
  6. Step 6: Final answer
    x = 233,852.22

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.