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Finding the Third Proportional to 51,336 and 68,669

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Solution

The third proportional to 51,336 and 68,669 is: 91,854.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,336 : 68,669 = 68,669 : x
  2. Step 2: Convert to fraction form
    51,336/68,669 = 68,669/x
  3. Step 3: Cross multiply
    51,336x = 68,669 × 68,669
  4. Step 4: Simplify right side
    51,336x = 4,715,431,561
  5. Step 5: Solve for x
    x = 4,715,431,561/51,336
  6. Step 6: Final answer
    x = 91,854.28

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.