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Finding the Third Proportional to 76,751 and 166,378

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Solution

The third proportional to 76,751 and 166,378 is: 360,668.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,751 : 166,378 = 166,378 : x
  2. Step 2: Convert to fraction form
    76,751/166,378 = 166,378/x
  3. Step 3: Cross multiply
    76,751x = 166,378 × 166,378
  4. Step 4: Simplify right side
    76,751x = 27,681,638,884
  5. Step 5: Solve for x
    x = 27,681,638,884/76,751
  6. Step 6: Final answer
    x = 360,668.12

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.