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Finding the Third Proportional to 116,257.50 and 164,550.38

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Solution

The third proportional to 116,257.50 and 164,550.38 is: 232,903.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,257.50 : 164,550.38 = 164,550.38 : x
  2. Step 2: Convert to fraction form
    116,257.50/164,550.38 = 164,550.38/x
  3. Step 3: Cross multiply
    116,257.50x = 164,550.38 × 164,550.38
  4. Step 4: Simplify right side
    116,257.50x = 27,076,825,912.64
  5. Step 5: Solve for x
    x = 27,076,825,912.64/116,257.50
  6. Step 6: Final answer
    x = 232,903.91

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.