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Finding the Third Proportional to 50,024 and 118,079

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Solution

The third proportional to 50,024 and 118,079 is: 278,719.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,024 : 118,079 = 118,079 : x
  2. Step 2: Convert to fraction form
    50,024/118,079 = 118,079/x
  3. Step 3: Cross multiply
    50,024x = 118,079 × 118,079
  4. Step 4: Simplify right side
    50,024x = 13,942,650,241
  5. Step 5: Solve for x
    x = 13,942,650,241/50,024
  6. Step 6: Final answer
    x = 278,719.22

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.