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Finding the Third Proportional to 82,074 and 176,408.63

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Solution

The third proportional to 82,074 and 176,408.63 is: 379,170.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,074 : 176,408.63 = 176,408.63 : x
  2. Step 2: Convert to fraction form
    82,074/176,408.63 = 176,408.63/x
  3. Step 3: Cross multiply
    82,074x = 176,408.63 × 176,408.63
  4. Step 4: Simplify right side
    82,074x = 31,120,002,974.39
  5. Step 5: Solve for x
    x = 31,120,002,974.39/82,074
  6. Step 6: Final answer
    x = 379,170.05

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.