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Finding the Third Proportional to 73,857 and 161,247

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Solution

The third proportional to 73,857 and 161,247 is: 352,039.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,857 : 161,247 = 161,247 : x
  2. Step 2: Convert to fraction form
    73,857/161,247 = 161,247/x
  3. Step 3: Cross multiply
    73,857x = 161,247 × 161,247
  4. Step 4: Simplify right side
    73,857x = 26,000,595,009
  5. Step 5: Solve for x
    x = 26,000,595,009/73,857
  6. Step 6: Final answer
    x = 352,039.68

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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.