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Finding the Third Proportional to 84,138 and 183,504

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Solution

The third proportional to 84,138 and 183,504 is: 400,220.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,138 : 183,504 = 183,504 : x
  2. Step 2: Convert to fraction form
    84,138/183,504 = 183,504/x
  3. Step 3: Cross multiply
    84,138x = 183,504 × 183,504
  4. Step 4: Simplify right side
    84,138x = 33,673,718,016
  5. Step 5: Solve for x
    x = 33,673,718,016/84,138
  6. Step 6: Final answer
    x = 400,220.09

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.