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Finding the Third Proportional to 74,011 and 159,860

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Solution

The third proportional to 74,011 and 159,860 is: 345,289.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,011 : 159,860 = 159,860 : x
  2. Step 2: Convert to fraction form
    74,011/159,860 = 159,860/x
  3. Step 3: Cross multiply
    74,011x = 159,860 × 159,860
  4. Step 4: Simplify right side
    74,011x = 25,555,219,600
  5. Step 5: Solve for x
    x = 25,555,219,600/74,011
  6. Step 6: Final answer
    x = 345,289.48

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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.