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Finding the Third Proportional to 98,546 and 150,279

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Solution

The third proportional to 98,546 and 150,279 is: 229,169.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,546 : 150,279 = 150,279 : x
  2. Step 2: Convert to fraction form
    98,546/150,279 = 150,279/x
  3. Step 3: Cross multiply
    98,546x = 150,279 × 150,279
  4. Step 4: Simplify right side
    98,546x = 22,583,777,841
  5. Step 5: Solve for x
    x = 22,583,777,841/98,546
  6. Step 6: Final answer
    x = 229,169.91

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.