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Finding the Third Proportional to 103,073 and 223,771

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Solution

The third proportional to 103,073 and 223,771 is: 485,805.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,073 : 223,771 = 223,771 : x
  2. Step 2: Convert to fraction form
    103,073/223,771 = 223,771/x
  3. Step 3: Cross multiply
    103,073x = 223,771 × 223,771
  4. Step 4: Simplify right side
    103,073x = 50,073,460,441
  5. Step 5: Solve for x
    x = 50,073,460,441/103,073
  6. Step 6: Final answer
    x = 485,805.79

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.