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Finding the Third Proportional to 54,736 and 82,500

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Solution

The third proportional to 54,736 and 82,500 is: 124,346.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,736 : 82,500 = 82,500 : x
  2. Step 2: Convert to fraction form
    54,736/82,500 = 82,500/x
  3. Step 3: Cross multiply
    54,736x = 82,500 × 82,500
  4. Step 4: Simplify right side
    54,736x = 6,806,250,000
  5. Step 5: Solve for x
    x = 6,806,250,000/54,736
  6. Step 6: Final answer
    x = 124,346.86

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.