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Finding the Third Proportional to 103,722 and 227,524

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Solution

The third proportional to 103,722 and 227,524 is: 499,095.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,722 : 227,524 = 227,524 : x
  2. Step 2: Convert to fraction form
    103,722/227,524 = 227,524/x
  3. Step 3: Cross multiply
    103,722x = 227,524 × 227,524
  4. Step 4: Simplify right side
    103,722x = 51,767,170,576
  5. Step 5: Solve for x
    x = 51,767,170,576/103,722
  6. Step 6: Final answer
    x = 499,095.38

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.