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Finding the Third Proportional to 84,948 and 184,664

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Solution

The third proportional to 84,948 and 184,664 is: 401,431.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,948 : 184,664 = 184,664 : x
  2. Step 2: Convert to fraction form
    84,948/184,664 = 184,664/x
  3. Step 3: Cross multiply
    84,948x = 184,664 × 184,664
  4. Step 4: Simplify right side
    84,948x = 34,100,792,896
  5. Step 5: Solve for x
    x = 34,100,792,896/84,948
  6. Step 6: Final answer
    x = 401,431.38

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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.