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Finding the Third Proportional to 50,878 and 74,793

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Solution

The third proportional to 50,878 and 74,793 is: 109,949.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,878 : 74,793 = 74,793 : x
  2. Step 2: Convert to fraction form
    50,878/74,793 = 74,793/x
  3. Step 3: Cross multiply
    50,878x = 74,793 × 74,793
  4. Step 4: Simplify right side
    50,878x = 5,593,992,849
  5. Step 5: Solve for x
    x = 5,593,992,849/50,878
  6. Step 6: Final answer
    x = 109,949.15

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.