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Finding the Third Proportional to 74,184.75 and 164,954.25

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Solution

The third proportional to 74,184.75 and 164,954.25 is: 366,785.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,184.75 : 164,954.25 = 164,954.25 : x
  2. Step 2: Convert to fraction form
    74,184.75/164,954.25 = 164,954.25/x
  3. Step 3: Cross multiply
    74,184.75x = 164,954.25 × 164,954.25
  4. Step 4: Simplify right side
    74,184.75x = 27,209,904,593.06
  5. Step 5: Solve for x
    x = 27,209,904,593.06/74,184.75
  6. Step 6: Final answer
    x = 366,785.69

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.