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Finding the Third Proportional to 52,771 and 112,019

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Solution

The third proportional to 52,771 and 112,019 is: 237,786.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,771 : 112,019 = 112,019 : x
  2. Step 2: Convert to fraction form
    52,771/112,019 = 112,019/x
  3. Step 3: Cross multiply
    52,771x = 112,019 × 112,019
  4. Step 4: Simplify right side
    52,771x = 12,548,256,361
  5. Step 5: Solve for x
    x = 12,548,256,361/52,771
  6. Step 6: Final answer
    x = 237,786.97

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.