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Finding the Third Proportional to 60,704.25 and 123,816

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Solution

The third proportional to 60,704.25 and 123,816 is: 252,542.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,704.25 : 123,816 = 123,816 : x
  2. Step 2: Convert to fraction form
    60,704.25/123,816 = 123,816/x
  3. Step 3: Cross multiply
    60,704.25x = 123,816 × 123,816
  4. Step 4: Simplify right side
    60,704.25x = 15,330,401,856
  5. Step 5: Solve for x
    x = 15,330,401,856/60,704.25
  6. Step 6: Final answer
    x = 252,542.48

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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.