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Finding the Third Proportional to 54,764 and 78,256

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Solution

The third proportional to 54,764 and 78,256 is: 111,825.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,764 : 78,256 = 78,256 : x
  2. Step 2: Convert to fraction form
    54,764/78,256 = 78,256/x
  3. Step 3: Cross multiply
    54,764x = 78,256 × 78,256
  4. Step 4: Simplify right side
    54,764x = 6,124,001,536
  5. Step 5: Solve for x
    x = 6,124,001,536/54,764
  6. Step 6: Final answer
    x = 111,825.31

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.