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Finding the Third Proportional to 50,901 and 76,909

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Solution

The third proportional to 50,901 and 76,909 is: 116,205.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,901 : 76,909 = 76,909 : x
  2. Step 2: Convert to fraction form
    50,901/76,909 = 76,909/x
  3. Step 3: Cross multiply
    50,901x = 76,909 × 76,909
  4. Step 4: Simplify right side
    50,901x = 5,914,994,281
  5. Step 5: Solve for x
    x = 5,914,994,281/50,901
  6. Step 6: Final answer
    x = 116,205.86

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.