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Finding the Third Proportional to 73,662.75 and 160,819.31

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Solution

The third proportional to 73,662.75 and 160,819.31 is: 351,098.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,662.75 : 160,819.31 = 160,819.31 : x
  2. Step 2: Convert to fraction form
    73,662.75/160,819.31 = 160,819.31/x
  3. Step 3: Cross multiply
    73,662.75x = 160,819.31 × 160,819.31
  4. Step 4: Simplify right side
    73,662.75x = 25,862,851,272.97
  5. Step 5: Solve for x
    x = 25,862,851,272.97/73,662.75
  6. Step 6: Final answer
    x = 351,098.10

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.