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Finding the Third Proportional to 103,723 and 227,526

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Solution

The third proportional to 103,723 and 227,526 is: 499,099.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,723 : 227,526 = 227,526 : x
  2. Step 2: Convert to fraction form
    103,723/227,526 = 227,526/x
  3. Step 3: Cross multiply
    103,723x = 227,526 × 227,526
  4. Step 4: Simplify right side
    103,723x = 51,768,080,676
  5. Step 5: Solve for x
    x = 51,768,080,676/103,723
  6. Step 6: Final answer
    x = 499,099.34

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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.