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Finding the Third Proportional to 50,256 and 77,976

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Solution

The third proportional to 50,256 and 77,976 is: 120,985.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,256 : 77,976 = 77,976 : x
  2. Step 2: Convert to fraction form
    50,256/77,976 = 77,976/x
  3. Step 3: Cross multiply
    50,256x = 77,976 × 77,976
  4. Step 4: Simplify right side
    50,256x = 6,080,256,576
  5. Step 5: Solve for x
    x = 6,080,256,576/50,256
  6. Step 6: Final answer
    x = 120,985.68

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.