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Finding the Third Proportional to 84,957 and 184,682

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Solution

The third proportional to 84,957 and 184,682 is: 401,467.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,957 : 184,682 = 184,682 : x
  2. Step 2: Convert to fraction form
    84,957/184,682 = 184,682/x
  3. Step 3: Cross multiply
    84,957x = 184,682 × 184,682
  4. Step 4: Simplify right side
    84,957x = 34,107,441,124
  5. Step 5: Solve for x
    x = 34,107,441,124/84,957
  6. Step 6: Final answer
    x = 401,467.11

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.