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Finding the Third Proportional to 73,935 and 112,734

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Solution

The third proportional to 73,935 and 112,734 is: 171,893.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,935 : 112,734 = 112,734 : x
  2. Step 2: Convert to fraction form
    73,935/112,734 = 112,734/x
  3. Step 3: Cross multiply
    73,935x = 112,734 × 112,734
  4. Step 4: Simplify right side
    73,935x = 12,708,954,756
  5. Step 5: Solve for x
    x = 12,708,954,756/73,935
  6. Step 6: Final answer
    x = 171,893.62

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.