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Finding the Third Proportional to 84,668 and 181,012

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Solution

The third proportional to 84,668 and 181,012 is: 386,986.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,668 : 181,012 = 181,012 : x
  2. Step 2: Convert to fraction form
    84,668/181,012 = 181,012/x
  3. Step 3: Cross multiply
    84,668x = 181,012 × 181,012
  4. Step 4: Simplify right side
    84,668x = 32,765,344,144
  5. Step 5: Solve for x
    x = 32,765,344,144/84,668
  6. Step 6: Final answer
    x = 386,986.16

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.