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Finding the Third Proportional to 60,636 and 123,738

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Solution

The third proportional to 60,636 and 123,738 is: 252,508.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,636 : 123,738 = 123,738 : x
  2. Step 2: Convert to fraction form
    60,636/123,738 = 123,738/x
  3. Step 3: Cross multiply
    60,636x = 123,738 × 123,738
  4. Step 4: Simplify right side
    60,636x = 15,311,092,644
  5. Step 5: Solve for x
    x = 15,311,092,644/60,636
  6. Step 6: Final answer
    x = 252,508.29

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.