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Finding the Third Proportional to 121,084.50 and 166,215.75

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Solution

The third proportional to 121,084.50 and 166,215.75 is: 228,168.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,084.50 : 166,215.75 = 166,215.75 : x
  2. Step 2: Convert to fraction form
    121,084.50/166,215.75 = 166,215.75/x
  3. Step 3: Cross multiply
    121,084.50x = 166,215.75 × 166,215.75
  4. Step 4: Simplify right side
    121,084.50x = 27,627,675,548.06
  5. Step 5: Solve for x
    x = 27,627,675,548.06/121,084.50
  6. Step 6: Final answer
    x = 228,168.56

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.