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Finding the Third Proportional to 73,923 and 161,788

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Solution

The third proportional to 73,923 and 161,788 is: 354,089.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,923 : 161,788 = 161,788 : x
  2. Step 2: Convert to fraction form
    73,923/161,788 = 161,788/x
  3. Step 3: Cross multiply
    73,923x = 161,788 × 161,788
  4. Step 4: Simplify right side
    73,923x = 26,175,356,944
  5. Step 5: Solve for x
    x = 26,175,356,944/73,923
  6. Step 6: Final answer
    x = 354,089.48

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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.