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Finding the Third Proportional to 103,676 and 165,049

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Solution

The third proportional to 103,676 and 165,049 is: 262,752.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,676 : 165,049 = 165,049 : x
  2. Step 2: Convert to fraction form
    103,676/165,049 = 165,049/x
  3. Step 3: Cross multiply
    103,676x = 165,049 × 165,049
  4. Step 4: Simplify right side
    103,676x = 27,241,172,401
  5. Step 5: Solve for x
    x = 27,241,172,401/103,676
  6. Step 6: Final answer
    x = 262,752.93

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.