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Finding the Third Proportional to 75,749 and 159,487

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Solution

The third proportional to 75,749 and 159,487 is: 335,794.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,749 : 159,487 = 159,487 : x
  2. Step 2: Convert to fraction form
    75,749/159,487 = 159,487/x
  3. Step 3: Cross multiply
    75,749x = 159,487 × 159,487
  4. Step 4: Simplify right side
    75,749x = 25,436,103,169
  5. Step 5: Solve for x
    x = 25,436,103,169/75,749
  6. Step 6: Final answer
    x = 335,794.57

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.