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Finding the Third Proportional to 50,116 and 67,074

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Solution

The third proportional to 50,116 and 67,074 is: 89,770.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,116 : 67,074 = 67,074 : x
  2. Step 2: Convert to fraction form
    50,116/67,074 = 67,074/x
  3. Step 3: Cross multiply
    50,116x = 67,074 × 67,074
  4. Step 4: Simplify right side
    50,116x = 4,498,921,476
  5. Step 5: Solve for x
    x = 4,498,921,476/50,116
  6. Step 6: Final answer
    x = 89,770.16

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.