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Finding the Third Proportional to 74,094 and 161,796

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Solution

The third proportional to 74,094 and 161,796 is: 353,307.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,094 : 161,796 = 161,796 : x
  2. Step 2: Convert to fraction form
    74,094/161,796 = 161,796/x
  3. Step 3: Cross multiply
    74,094x = 161,796 × 161,796
  4. Step 4: Simplify right side
    74,094x = 26,177,945,616
  5. Step 5: Solve for x
    x = 26,177,945,616/74,094
  6. Step 6: Final answer
    x = 353,307.23

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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.