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Finding the Third Proportional to 74,247 and 165,054

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Solution

The third proportional to 74,247 and 165,054 is: 366,921.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,247 : 165,054 = 165,054 : x
  2. Step 2: Convert to fraction form
    74,247/165,054 = 165,054/x
  3. Step 3: Cross multiply
    74,247x = 165,054 × 165,054
  4. Step 4: Simplify right side
    74,247x = 27,242,822,916
  5. Step 5: Solve for x
    x = 27,242,822,916/74,247
  6. Step 6: Final answer
    x = 366,921.53

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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.