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Finding the Third Proportional to 96,732.75 and 129,012.75

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Solution

The third proportional to 96,732.75 and 129,012.75 is: 172,064.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,732.75 : 129,012.75 = 129,012.75 : x
  2. Step 2: Convert to fraction form
    96,732.75/129,012.75 = 129,012.75/x
  3. Step 3: Cross multiply
    96,732.75x = 129,012.75 × 129,012.75
  4. Step 4: Simplify right side
    96,732.75x = 16,644,289,662.56
  5. Step 5: Solve for x
    x = 16,644,289,662.56/96,732.75
  6. Step 6: Final answer
    x = 172,064.68

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.