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Finding the Third Proportional to 49,491 and 106,641

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Solution

The third proportional to 49,491 and 106,641 is: 229,785.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,491 : 106,641 = 106,641 : x
  2. Step 2: Convert to fraction form
    49,491/106,641 = 106,641/x
  3. Step 3: Cross multiply
    49,491x = 106,641 × 106,641
  4. Step 4: Simplify right side
    49,491x = 11,372,302,881
  5. Step 5: Solve for x
    x = 11,372,302,881/49,491
  6. Step 6: Final answer
    x = 229,785.27

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.