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Finding the Third Proportional to 50,541 and 110,048

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Solution

The third proportional to 50,541 and 110,048 is: 239,618.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,541 : 110,048 = 110,048 : x
  2. Step 2: Convert to fraction form
    50,541/110,048 = 110,048/x
  3. Step 3: Cross multiply
    50,541x = 110,048 × 110,048
  4. Step 4: Simplify right side
    50,541x = 12,110,562,304
  5. Step 5: Solve for x
    x = 12,110,562,304/50,541
  6. Step 6: Final answer
    x = 239,618.57

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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.