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Finding the Third Proportional to 84,674 and 181,021

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Solution

The third proportional to 84,674 and 181,021 is: 386,997.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,674 : 181,021 = 181,021 : x
  2. Step 2: Convert to fraction form
    84,674/181,021 = 181,021/x
  3. Step 3: Cross multiply
    84,674x = 181,021 × 181,021
  4. Step 4: Simplify right side
    84,674x = 32,768,602,441
  5. Step 5: Solve for x
    x = 32,768,602,441/84,674
  6. Step 6: Final answer
    x = 386,997.22

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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.