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Finding the Third Proportional to 55,784 and 122,687

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Solution

The third proportional to 55,784 and 122,687 is: 269,828.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,784 : 122,687 = 122,687 : x
  2. Step 2: Convert to fraction form
    55,784/122,687 = 122,687/x
  3. Step 3: Cross multiply
    55,784x = 122,687 × 122,687
  4. Step 4: Simplify right side
    55,784x = 15,052,099,969
  5. Step 5: Solve for x
    x = 15,052,099,969/55,784
  6. Step 6: Final answer
    x = 269,828.27

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.