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Finding the Third Proportional to 75,957.75 and 166,234.50

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Solution

The third proportional to 75,957.75 and 166,234.50 is: 363,806.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,957.75 : 166,234.50 = 166,234.50 : x
  2. Step 2: Convert to fraction form
    75,957.75/166,234.50 = 166,234.50/x
  3. Step 3: Cross multiply
    75,957.75x = 166,234.50 × 166,234.50
  4. Step 4: Simplify right side
    75,957.75x = 27,633,908,990.25
  5. Step 5: Solve for x
    x = 27,633,908,990.25/75,957.75
  6. Step 6: Final answer
    x = 363,806.31

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.