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Finding the Third Proportional to 81,821 and 120,034

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Solution

The third proportional to 81,821 and 120,034 is: 176,093.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,821 : 120,034 = 120,034 : x
  2. Step 2: Convert to fraction form
    81,821/120,034 = 120,034/x
  3. Step 3: Cross multiply
    81,821x = 120,034 × 120,034
  4. Step 4: Simplify right side
    81,821x = 14,408,161,156
  5. Step 5: Solve for x
    x = 14,408,161,156/81,821
  6. Step 6: Final answer
    x = 176,093.68

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.