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Finding the Third Proportional to 83,122 and 183,744

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Solution

The third proportional to 83,122 and 183,744 is: 406,172.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,122 : 183,744 = 183,744 : x
  2. Step 2: Convert to fraction form
    83,122/183,744 = 183,744/x
  3. Step 3: Cross multiply
    83,122x = 183,744 × 183,744
  4. Step 4: Simplify right side
    83,122x = 33,761,857,536
  5. Step 5: Solve for x
    x = 33,761,857,536/83,122
  6. Step 6: Final answer
    x = 406,172.34

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.