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Finding the Third Proportional to 83,296 and 121,821

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Solution

The third proportional to 83,296 and 121,821 is: 178,164.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,296 : 121,821 = 121,821 : x
  2. Step 2: Convert to fraction form
    83,296/121,821 = 121,821/x
  3. Step 3: Cross multiply
    83,296x = 121,821 × 121,821
  4. Step 4: Simplify right side
    83,296x = 14,840,356,041
  5. Step 5: Solve for x
    x = 14,840,356,041/83,296
  6. Step 6: Final answer
    x = 178,164.09

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.