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Finding the Third Proportional to 104,030 and 223,860

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Solution

The third proportional to 104,030 and 223,860 is: 481,719.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,030 : 223,860 = 223,860 : x
  2. Step 2: Convert to fraction form
    104,030/223,860 = 223,860/x
  3. Step 3: Cross multiply
    104,030x = 223,860 × 223,860
  4. Step 4: Simplify right side
    104,030x = 50,113,299,600
  5. Step 5: Solve for x
    x = 50,113,299,600/104,030
  6. Step 6: Final answer
    x = 481,719.69

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.