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Finding the Third Proportional to 73,857.75 and 161,078.25

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Solution

The third proportional to 73,857.75 and 161,078.25 is: 351,299.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,857.75 : 161,078.25 = 161,078.25 : x
  2. Step 2: Convert to fraction form
    73,857.75/161,078.25 = 161,078.25/x
  3. Step 3: Cross multiply
    73,857.75x = 161,078.25 × 161,078.25
  4. Step 4: Simplify right side
    73,857.75x = 25,946,202,623.06
  5. Step 5: Solve for x
    x = 25,946,202,623.06/73,857.75
  6. Step 6: Final answer
    x = 351,299.66

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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.