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Finding the Third Proportional to 81,367.50 and 171,483

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Solution

The third proportional to 81,367.50 and 171,483 is: 361,402.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,367.50 : 171,483 = 171,483 : x
  2. Step 2: Convert to fraction form
    81,367.50/171,483 = 171,483/x
  3. Step 3: Cross multiply
    81,367.50x = 171,483 × 171,483
  4. Step 4: Simplify right side
    81,367.50x = 29,406,419,289
  5. Step 5: Solve for x
    x = 29,406,419,289/81,367.50
  6. Step 6: Final answer
    x = 361,402.52

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.