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Finding the Third Proportional to 101,805 and 158,524

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Solution

The third proportional to 101,805 and 158,524 is: 246,843.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,805 : 158,524 = 158,524 : x
  2. Step 2: Convert to fraction form
    101,805/158,524 = 158,524/x
  3. Step 3: Cross multiply
    101,805x = 158,524 × 158,524
  4. Step 4: Simplify right side
    101,805x = 25,129,858,576
  5. Step 5: Solve for x
    x = 25,129,858,576/101,805
  6. Step 6: Final answer
    x = 246,843.07

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.