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Finding the Third Proportional to 50,369 and 74,161

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Solution

The third proportional to 50,369 and 74,161 is: 109,191.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,369 : 74,161 = 74,161 : x
  2. Step 2: Convert to fraction form
    50,369/74,161 = 74,161/x
  3. Step 3: Cross multiply
    50,369x = 74,161 × 74,161
  4. Step 4: Simplify right side
    50,369x = 5,499,853,921
  5. Step 5: Solve for x
    x = 5,499,853,921/50,369
  6. Step 6: Final answer
    x = 109,191.25

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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.