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Finding the Third Proportional to 44,661 and 69,122

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Solution

The third proportional to 44,661 and 69,122 is: 106,980.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,661 : 69,122 = 69,122 : x
  2. Step 2: Convert to fraction form
    44,661/69,122 = 69,122/x
  3. Step 3: Cross multiply
    44,661x = 69,122 × 69,122
  4. Step 4: Simplify right side
    44,661x = 4,777,850,884
  5. Step 5: Solve for x
    x = 4,777,850,884/44,661
  6. Step 6: Final answer
    x = 106,980.38

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.