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Finding the Third Proportional to 50,591 and 72,878

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Solution

The third proportional to 50,591 and 72,878 is: 104,983.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,591 : 72,878 = 72,878 : x
  2. Step 2: Convert to fraction form
    50,591/72,878 = 72,878/x
  3. Step 3: Cross multiply
    50,591x = 72,878 × 72,878
  4. Step 4: Simplify right side
    50,591x = 5,311,202,884
  5. Step 5: Solve for x
    x = 5,311,202,884/50,591
  6. Step 6: Final answer
    x = 104,983.16

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.