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Finding the Third Proportional to 51,022 and 79,307

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Solution

The third proportional to 51,022 and 79,307 is: 123,272.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,022 : 79,307 = 79,307 : x
  2. Step 2: Convert to fraction form
    51,022/79,307 = 79,307/x
  3. Step 3: Cross multiply
    51,022x = 79,307 × 79,307
  4. Step 4: Simplify right side
    51,022x = 6,289,600,249
  5. Step 5: Solve for x
    x = 6,289,600,249/51,022
  6. Step 6: Final answer
    x = 123,272.32

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.