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Finding the Third Proportional to 74,004 and 159,834

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Solution

The third proportional to 74,004 and 159,834 is: 345,209.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,004 : 159,834 = 159,834 : x
  2. Step 2: Convert to fraction form
    74,004/159,834 = 159,834/x
  3. Step 3: Cross multiply
    74,004x = 159,834 × 159,834
  4. Step 4: Simplify right side
    74,004x = 25,546,907,556
  5. Step 5: Solve for x
    x = 25,546,907,556/74,004
  6. Step 6: Final answer
    x = 345,209.82

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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.