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Finding the Third Proportional to 73,983 and 161,807

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Solution

The third proportional to 73,983 and 161,807 is: 353,885.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,983 : 161,807 = 161,807 : x
  2. Step 2: Convert to fraction form
    73,983/161,807 = 161,807/x
  3. Step 3: Cross multiply
    73,983x = 161,807 × 161,807
  4. Step 4: Simplify right side
    73,983x = 26,181,505,249
  5. Step 5: Solve for x
    x = 26,181,505,249/73,983
  6. Step 6: Final answer
    x = 353,885.42

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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.