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Finding the Third Proportional to 81,524.81 and 176,620.22

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Solution

The third proportional to 81,524.81 and 176,620.22 is: 382,640.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,524.81 : 176,620.22 = 176,620.22 : x
  2. Step 2: Convert to fraction form
    81,524.81/176,620.22 = 176,620.22/x
  3. Step 3: Cross multiply
    81,524.81x = 176,620.22 × 176,620.22
  4. Step 4: Simplify right side
    81,524.81x = 31,194,701,671.30
  5. Step 5: Solve for x
    x = 31,194,701,671.30/81,524.81
  6. Step 6: Final answer
    x = 382,640.58

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.