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Finding the Third Proportional to 81,685.69 and 176,942.25

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Solution

The third proportional to 81,685.69 and 176,942.25 is: 383,280.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,685.69 : 176,942.25 = 176,942.25 : x
  2. Step 2: Convert to fraction form
    81,685.69/176,942.25 = 176,942.25/x
  3. Step 3: Cross multiply
    81,685.69x = 176,942.25 × 176,942.25
  4. Step 4: Simplify right side
    81,685.69x = 31,308,559,835.06
  5. Step 5: Solve for x
    x = 31,308,559,835.06/81,685.69
  6. Step 6: Final answer
    x = 383,280.85

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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.