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Finding the Third Proportional to 39,546 and 84,116

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Solution

The third proportional to 39,546 and 84,116 is: 178,918.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,546 : 84,116 = 84,116 : x
  2. Step 2: Convert to fraction form
    39,546/84,116 = 84,116/x
  3. Step 3: Cross multiply
    39,546x = 84,116 × 84,116
  4. Step 4: Simplify right side
    39,546x = 7,075,501,456
  5. Step 5: Solve for x
    x = 7,075,501,456/39,546
  6. Step 6: Final answer
    x = 178,918.26

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.