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Finding the Third Proportional to 50,062 and 116,406

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Solution

The third proportional to 50,062 and 116,406 is: 270,671.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,062 : 116,406 = 116,406 : x
  2. Step 2: Convert to fraction form
    50,062/116,406 = 116,406/x
  3. Step 3: Cross multiply
    50,062x = 116,406 × 116,406
  4. Step 4: Simplify right side
    50,062x = 13,550,356,836
  5. Step 5: Solve for x
    x = 13,550,356,836/50,062
  6. Step 6: Final answer
    x = 270,671.50

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.