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Finding the Third Proportional to 49,069 and 106,436

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Solution

The third proportional to 49,069 and 106,436 is: 230,871.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,069 : 106,436 = 106,436 : x
  2. Step 2: Convert to fraction form
    49,069/106,436 = 106,436/x
  3. Step 3: Cross multiply
    49,069x = 106,436 × 106,436
  4. Step 4: Simplify right side
    49,069x = 11,328,622,096
  5. Step 5: Solve for x
    x = 11,328,622,096/49,069
  6. Step 6: Final answer
    x = 230,871.26

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.