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Finding the Third Proportional to 73,682 and 161,728

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Solution

The third proportional to 73,682 and 161,728 is: 354,984.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,682 : 161,728 = 161,728 : x
  2. Step 2: Convert to fraction form
    73,682/161,728 = 161,728/x
  3. Step 3: Cross multiply
    73,682x = 161,728 × 161,728
  4. Step 4: Simplify right side
    73,682x = 26,155,945,984
  5. Step 5: Solve for x
    x = 26,155,945,984/73,682
  6. Step 6: Final answer
    x = 354,984.20

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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.