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Finding the Third Proportional to 50,714 and 79,143

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Solution

The third proportional to 50,714 and 79,143 is: 123,508.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,714 : 79,143 = 79,143 : x
  2. Step 2: Convert to fraction form
    50,714/79,143 = 79,143/x
  3. Step 3: Cross multiply
    50,714x = 79,143 × 79,143
  4. Step 4: Simplify right side
    50,714x = 6,263,614,449
  5. Step 5: Solve for x
    x = 6,263,614,449/50,714
  6. Step 6: Final answer
    x = 123,508.59

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.