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Finding the Third Proportional to 84,944 and 181,544

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Solution

The third proportional to 84,944 and 181,544 is: 387,999.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,944 : 181,544 = 181,544 : x
  2. Step 2: Convert to fraction form
    84,944/181,544 = 181,544/x
  3. Step 3: Cross multiply
    84,944x = 181,544 × 181,544
  4. Step 4: Simplify right side
    84,944x = 32,958,223,936
  5. Step 5: Solve for x
    x = 32,958,223,936/84,944
  6. Step 6: Final answer
    x = 387,999.43

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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.