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Finding the Third Proportional to 73,825.50 and 161,183.63

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Solution

The third proportional to 73,825.50 and 161,183.63 is: 351,913.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,825.50 : 161,183.63 = 161,183.63 : x
  2. Step 2: Convert to fraction form
    73,825.50/161,183.63 = 161,183.63/x
  3. Step 3: Cross multiply
    73,825.50x = 161,183.63 × 161,183.63
  4. Step 4: Simplify right side
    73,825.50x = 25,980,160,968.14
  5. Step 5: Solve for x
    x = 25,980,160,968.14/73,825.50
  6. Step 6: Final answer
    x = 351,913.11

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Why These Related Problems?

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