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Finding the Third Proportional to 50,714 and 76,071

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Solution

The third proportional to 50,714 and 76,071 is: 114,106.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,714 : 76,071 = 76,071 : x
  2. Step 2: Convert to fraction form
    50,714/76,071 = 76,071/x
  3. Step 3: Cross multiply
    50,714x = 76,071 × 76,071
  4. Step 4: Simplify right side
    50,714x = 5,786,797,041
  5. Step 5: Solve for x
    x = 5,786,797,041/50,714
  6. Step 6: Final answer
    x = 114,106.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.