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Finding the Third Proportional to 80,901.75 and 176,007

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Solution

The third proportional to 80,901.75 and 176,007 is: 382,914.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,901.75 : 176,007 = 176,007 : x
  2. Step 2: Convert to fraction form
    80,901.75/176,007 = 176,007/x
  3. Step 3: Cross multiply
    80,901.75x = 176,007 × 176,007
  4. Step 4: Simplify right side
    80,901.75x = 30,978,464,049
  5. Step 5: Solve for x
    x = 30,978,464,049/80,901.75
  6. Step 6: Final answer
    x = 382,914.63

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.