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Finding the Third Proportional to 74,965 and 161,047

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Solution

The third proportional to 74,965 and 161,047 is: 345,976.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,965 : 161,047 = 161,047 : x
  2. Step 2: Convert to fraction form
    74,965/161,047 = 161,047/x
  3. Step 3: Cross multiply
    74,965x = 161,047 × 161,047
  4. Step 4: Simplify right side
    74,965x = 25,936,136,209
  5. Step 5: Solve for x
    x = 25,936,136,209/74,965
  6. Step 6: Final answer
    x = 345,976.61

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.