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Finding the Third Proportional to 50,504 and 79,228

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Solution

The third proportional to 50,504 and 79,228 is: 124,288.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,504 : 79,228 = 79,228 : x
  2. Step 2: Convert to fraction form
    50,504/79,228 = 79,228/x
  3. Step 3: Cross multiply
    50,504x = 79,228 × 79,228
  4. Step 4: Simplify right side
    50,504x = 6,277,075,984
  5. Step 5: Solve for x
    x = 6,277,075,984/50,504
  6. Step 6: Final answer
    x = 124,288.69

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.