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Finding the Third Proportional to 71,744 and 146,408

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Solution

The third proportional to 71,744 and 146,408 is: 298,774.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,744 : 146,408 = 146,408 : x
  2. Step 2: Convert to fraction form
    71,744/146,408 = 146,408/x
  3. Step 3: Cross multiply
    71,744x = 146,408 × 146,408
  4. Step 4: Simplify right side
    71,744x = 21,435,302,464
  5. Step 5: Solve for x
    x = 21,435,302,464/71,744
  6. Step 6: Final answer
    x = 298,774.84

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.