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Finding the Third Proportional to 74,224 and 158,992

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Solution

The third proportional to 74,224 and 158,992 is: 340,569.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,224 : 158,992 = 158,992 : x
  2. Step 2: Convert to fraction form
    74,224/158,992 = 158,992/x
  3. Step 3: Cross multiply
    74,224x = 158,992 × 158,992
  4. Step 4: Simplify right side
    74,224x = 25,278,456,064
  5. Step 5: Solve for x
    x = 25,278,456,064/74,224
  6. Step 6: Final answer
    x = 340,569.84

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.