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Finding the Third Proportional to 69,538 and 161,768

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Solution

The third proportional to 69,538 and 161,768 is: 376,324.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,538 : 161,768 = 161,768 : x
  2. Step 2: Convert to fraction form
    69,538/161,768 = 161,768/x
  3. Step 3: Cross multiply
    69,538x = 161,768 × 161,768
  4. Step 4: Simplify right side
    69,538x = 26,168,885,824
  5. Step 5: Solve for x
    x = 26,168,885,824/69,538
  6. Step 6: Final answer
    x = 376,324.97

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.