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Finding the Third Proportional to 50,539 and 74,827

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Solution

The third proportional to 50,539 and 74,827 is: 110,787.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,539 : 74,827 = 74,827 : x
  2. Step 2: Convert to fraction form
    50,539/74,827 = 74,827/x
  3. Step 3: Cross multiply
    50,539x = 74,827 × 74,827
  4. Step 4: Simplify right side
    50,539x = 5,599,079,929
  5. Step 5: Solve for x
    x = 5,599,079,929/50,539
  6. Step 6: Final answer
    x = 110,787.31

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.