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Finding the Third Proportional to 51,102 and 68,673

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Solution

The third proportional to 51,102 and 68,673 is: 92,285.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,102 : 68,673 = 68,673 : x
  2. Step 2: Convert to fraction form
    51,102/68,673 = 68,673/x
  3. Step 3: Cross multiply
    51,102x = 68,673 × 68,673
  4. Step 4: Simplify right side
    51,102x = 4,715,980,929
  5. Step 5: Solve for x
    x = 4,715,980,929/51,102
  6. Step 6: Final answer
    x = 92,285.64

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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.