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Finding the Third Proportional to 81,609.50 and 104,047.50

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Solution

The third proportional to 81,609.50 and 104,047.50 is: 132,654.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,609.50 : 104,047.50 = 104,047.50 : x
  2. Step 2: Convert to fraction form
    81,609.50/104,047.50 = 104,047.50/x
  3. Step 3: Cross multiply
    81,609.50x = 104,047.50 × 104,047.50
  4. Step 4: Simplify right side
    81,609.50x = 10,825,882,256.25
  5. Step 5: Solve for x
    x = 10,825,882,256.25/81,609.50
  6. Step 6: Final answer
    x = 132,654.68

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These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.