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Finding the Third Proportional to 84,686 and 181,036

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Solution

The third proportional to 84,686 and 181,036 is: 387,006.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,686 : 181,036 = 181,036 : x
  2. Step 2: Convert to fraction form
    84,686/181,036 = 181,036/x
  3. Step 3: Cross multiply
    84,686x = 181,036 × 181,036
  4. Step 4: Simplify right side
    84,686x = 32,774,033,296
  5. Step 5: Solve for x
    x = 32,774,033,296/84,686
  6. Step 6: Final answer
    x = 387,006.51

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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.