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Finding the Third Proportional to 84,674 and 181,006

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Solution

The third proportional to 84,674 and 181,006 is: 386,933.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,674 : 181,006 = 181,006 : x
  2. Step 2: Convert to fraction form
    84,674/181,006 = 181,006/x
  3. Step 3: Cross multiply
    84,674x = 181,006 × 181,006
  4. Step 4: Simplify right side
    84,674x = 32,763,172,036
  5. Step 5: Solve for x
    x = 32,763,172,036/84,674
  6. Step 6: Final answer
    x = 386,933.08

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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.