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Finding the Third Proportional to 82,212 and 176,052

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Solution

The third proportional to 82,212 and 176,052 is: 377,004.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,212 : 176,052 = 176,052 : x
  2. Step 2: Convert to fraction form
    82,212/176,052 = 176,052/x
  3. Step 3: Cross multiply
    82,212x = 176,052 × 176,052
  4. Step 4: Simplify right side
    82,212x = 30,994,306,704
  5. Step 5: Solve for x
    x = 30,994,306,704/82,212
  6. Step 6: Final answer
    x = 377,004.66

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.