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Finding the Third Proportional to 31,141.97 and 73,110.73

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Solution

The third proportional to 31,141.97 and 73,110.73 is: 171,639.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,141.97 : 73,110.73 = 73,110.73 : x
  2. Step 2: Convert to fraction form
    31,141.97/73,110.73 = 73,110.73/x
  3. Step 3: Cross multiply
    31,141.97x = 73,110.73 × 73,110.73
  4. Step 4: Simplify right side
    31,141.97x = 5,345,178,338.50
  5. Step 5: Solve for x
    x = 5,345,178,338.50/31,141.97
  6. Step 6: Final answer
    x = 171,639.06

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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.