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Finding the Third Proportional to 74,026 and 150,799

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Solution

The third proportional to 74,026 and 150,799 is: 307,193.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,026 : 150,799 = 150,799 : x
  2. Step 2: Convert to fraction form
    74,026/150,799 = 150,799/x
  3. Step 3: Cross multiply
    74,026x = 150,799 × 150,799
  4. Step 4: Simplify right side
    74,026x = 22,740,338,401
  5. Step 5: Solve for x
    x = 22,740,338,401/74,026
  6. Step 6: Final answer
    x = 307,193.94

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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.