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Finding the Third Proportional to 31,734 and 68,773

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Solution

The third proportional to 31,734 and 68,773 is: 149,042.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,734 : 68,773 = 68,773 : x
  2. Step 2: Convert to fraction form
    31,734/68,773 = 68,773/x
  3. Step 3: Cross multiply
    31,734x = 68,773 × 68,773
  4. Step 4: Simplify right side
    31,734x = 4,729,725,529
  5. Step 5: Solve for x
    x = 4,729,725,529/31,734
  6. Step 6: Final answer
    x = 149,042.84

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.