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Finding the Third Proportional to 45,408 and 68,174

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Solution

The third proportional to 45,408 and 68,174 is: 102,354.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,408 : 68,174 = 68,174 : x
  2. Step 2: Convert to fraction form
    45,408/68,174 = 68,174/x
  3. Step 3: Cross multiply
    45,408x = 68,174 × 68,174
  4. Step 4: Simplify right side
    45,408x = 4,647,694,276
  5. Step 5: Solve for x
    x = 4,647,694,276/45,408
  6. Step 6: Final answer
    x = 102,354.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.