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Finding the Third Proportional to 74,884 and 159,992

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Solution

The third proportional to 74,884 and 159,992 is: 341,827.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,884 : 159,992 = 159,992 : x
  2. Step 2: Convert to fraction form
    74,884/159,992 = 159,992/x
  3. Step 3: Cross multiply
    74,884x = 159,992 × 159,992
  4. Step 4: Simplify right side
    74,884x = 25,597,440,064
  5. Step 5: Solve for x
    x = 25,597,440,064/74,884
  6. Step 6: Final answer
    x = 341,827.89

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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.