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Finding the Third Proportional to 49,764 and 77,676

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Solution

The third proportional to 49,764 and 77,676 is: 121,243.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,764 : 77,676 = 77,676 : x
  2. Step 2: Convert to fraction form
    49,764/77,676 = 77,676/x
  3. Step 3: Cross multiply
    49,764x = 77,676 × 77,676
  4. Step 4: Simplify right side
    49,764x = 6,033,560,976
  5. Step 5: Solve for x
    x = 6,033,560,976/49,764
  6. Step 6: Final answer
    x = 121,243.49

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.