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Finding the Third Proportional to 73,291 and 159,749

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Solution

The third proportional to 73,291 and 159,749 is: 348,197.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,291 : 159,749 = 159,749 : x
  2. Step 2: Convert to fraction form
    73,291/159,749 = 159,749/x
  3. Step 3: Cross multiply
    73,291x = 159,749 × 159,749
  4. Step 4: Simplify right side
    73,291x = 25,519,743,001
  5. Step 5: Solve for x
    x = 25,519,743,001/73,291
  6. Step 6: Final answer
    x = 348,197.50

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.