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Finding the Third Proportional to 84,744 and 184,056

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Solution

The third proportional to 84,744 and 184,056 is: 399,752.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,744 : 184,056 = 184,056 : x
  2. Step 2: Convert to fraction form
    84,744/184,056 = 184,056/x
  3. Step 3: Cross multiply
    84,744x = 184,056 × 184,056
  4. Step 4: Simplify right side
    84,744x = 33,876,611,136
  5. Step 5: Solve for x
    x = 33,876,611,136/84,744
  6. Step 6: Final answer
    x = 399,752.33

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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.