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Finding the Third Proportional to 74,947 and 161,012

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Solution

The third proportional to 74,947 and 161,012 is: 345,909.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,947 : 161,012 = 161,012 : x
  2. Step 2: Convert to fraction form
    74,947/161,012 = 161,012/x
  3. Step 3: Cross multiply
    74,947x = 161,012 × 161,012
  4. Step 4: Simplify right side
    74,947x = 25,924,864,144
  5. Step 5: Solve for x
    x = 25,924,864,144/74,947
  6. Step 6: Final answer
    x = 345,909.30

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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.