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Finding the Third Proportional to 74,181 and 153,546

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Solution

The third proportional to 74,181 and 153,546 is: 317,822.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,181 : 153,546 = 153,546 : x
  2. Step 2: Convert to fraction form
    74,181/153,546 = 153,546/x
  3. Step 3: Cross multiply
    74,181x = 153,546 × 153,546
  4. Step 4: Simplify right side
    74,181x = 23,576,374,116
  5. Step 5: Solve for x
    x = 23,576,374,116/74,181
  6. Step 6: Final answer
    x = 317,822.27

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.