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Finding the Third Proportional to 50,246 and 108,184

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Solution

The third proportional to 50,246 and 108,184 is: 232,929.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,246 : 108,184 = 108,184 : x
  2. Step 2: Convert to fraction form
    50,246/108,184 = 108,184/x
  3. Step 3: Cross multiply
    50,246x = 108,184 × 108,184
  4. Step 4: Simplify right side
    50,246x = 11,703,777,856
  5. Step 5: Solve for x
    x = 11,703,777,856/50,246
  6. Step 6: Final answer
    x = 232,929.54

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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.