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Finding the Third Proportional to 108,667.50 and 166,227.75

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Solution

The third proportional to 108,667.50 and 166,227.75 is: 254,277.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,667.50 : 166,227.75 = 166,227.75 : x
  2. Step 2: Convert to fraction form
    108,667.50/166,227.75 = 166,227.75/x
  3. Step 3: Cross multiply
    108,667.50x = 166,227.75 × 166,227.75
  4. Step 4: Simplify right side
    108,667.50x = 27,631,664,870.06
  5. Step 5: Solve for x
    x = 27,631,664,870.06/108,667.50
  6. Step 6: Final answer
    x = 254,277.17

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.