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Finding the Third Proportional to 50,688 and 110,268

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Solution

The third proportional to 50,688 and 110,268 is: 239,879.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,688 : 110,268 = 110,268 : x
  2. Step 2: Convert to fraction form
    50,688/110,268 = 110,268/x
  3. Step 3: Cross multiply
    50,688x = 110,268 × 110,268
  4. Step 4: Simplify right side
    50,688x = 12,159,031,824
  5. Step 5: Solve for x
    x = 12,159,031,824/50,688
  6. Step 6: Final answer
    x = 239,879.89

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.