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Finding the Third Proportional to 74,698 and 161,059

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Solution

The third proportional to 74,698 and 161,059 is: 347,265.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,698 : 161,059 = 161,059 : x
  2. Step 2: Convert to fraction form
    74,698/161,059 = 161,059/x
  3. Step 3: Cross multiply
    74,698x = 161,059 × 161,059
  4. Step 4: Simplify right side
    74,698x = 25,940,001,481
  5. Step 5: Solve for x
    x = 25,940,001,481/74,698
  6. Step 6: Final answer
    x = 347,265.01

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.