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Finding the Third Proportional to 73,993.50 and 161,825.34

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Solution

The third proportional to 73,993.50 and 161,825.34 is: 353,915.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,993.50 : 161,825.34 = 161,825.34 : x
  2. Step 2: Convert to fraction form
    73,993.50/161,825.34 = 161,825.34/x
  3. Step 3: Cross multiply
    73,993.50x = 161,825.34 × 161,825.34
  4. Step 4: Simplify right side
    73,993.50x = 26,187,441,879.81
  5. Step 5: Solve for x
    x = 26,187,441,879.81/73,993.50
  6. Step 6: Final answer
    x = 353,915.44

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.