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Finding the Third Proportional to 50,130 and 111,469

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Solution

The third proportional to 50,130 and 111,469 is: 247,862.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,130 : 111,469 = 111,469 : x
  2. Step 2: Convert to fraction form
    50,130/111,469 = 111,469/x
  3. Step 3: Cross multiply
    50,130x = 111,469 × 111,469
  4. Step 4: Simplify right side
    50,130x = 12,425,337,961
  5. Step 5: Solve for x
    x = 12,425,337,961/50,130
  6. Step 6: Final answer
    x = 247,862.32

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.