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Finding the Third Proportional to 84,136 and 179,946

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Solution

The third proportional to 84,136 and 179,946 is: 384,859.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,136 : 179,946 = 179,946 : x
  2. Step 2: Convert to fraction form
    84,136/179,946 = 179,946/x
  3. Step 3: Cross multiply
    84,136x = 179,946 × 179,946
  4. Step 4: Simplify right side
    84,136x = 32,380,562,916
  5. Step 5: Solve for x
    x = 32,380,562,916/84,136
  6. Step 6: Final answer
    x = 384,859.79

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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.