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Finding the Third Proportional to 50,786 and 79,419

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Solution

The third proportional to 50,786 and 79,419 is: 124,195.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,786 : 79,419 = 79,419 : x
  2. Step 2: Convert to fraction form
    50,786/79,419 = 79,419/x
  3. Step 3: Cross multiply
    50,786x = 79,419 × 79,419
  4. Step 4: Simplify right side
    50,786x = 6,307,377,561
  5. Step 5: Solve for x
    x = 6,307,377,561/50,786
  6. Step 6: Final answer
    x = 124,195.20

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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.