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Finding the Third Proportional to 84,072 and 184,524

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Solution

The third proportional to 84,072 and 184,524 is: 404,999.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,072 : 184,524 = 184,524 : x
  2. Step 2: Convert to fraction form
    84,072/184,524 = 184,524/x
  3. Step 3: Cross multiply
    84,072x = 184,524 × 184,524
  4. Step 4: Simplify right side
    84,072x = 34,049,106,576
  5. Step 5: Solve for x
    x = 34,049,106,576/84,072
  6. Step 6: Final answer
    x = 404,999.36

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.