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Finding the Third Proportional to 101,674 and 153,311

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Solution

The third proportional to 101,674 and 153,311 is: 231,172.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,674 : 153,311 = 153,311 : x
  2. Step 2: Convert to fraction form
    101,674/153,311 = 153,311/x
  3. Step 3: Cross multiply
    101,674x = 153,311 × 153,311
  4. Step 4: Simplify right side
    101,674x = 23,504,262,721
  5. Step 5: Solve for x
    x = 23,504,262,721/101,674
  6. Step 6: Final answer
    x = 231,172.79

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.