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Finding the Third Proportional to 51,343 and 68,677

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Solution

The third proportional to 51,343 and 68,677 is: 91,863.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,343 : 68,677 = 68,677 : x
  2. Step 2: Convert to fraction form
    51,343/68,677 = 68,677/x
  3. Step 3: Cross multiply
    51,343x = 68,677 × 68,677
  4. Step 4: Simplify right side
    51,343x = 4,716,530,329
  5. Step 5: Solve for x
    x = 4,716,530,329/51,343
  6. Step 6: Final answer
    x = 91,863.16

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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.