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Finding the Third Proportional to 49,388 and 106,675

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Solution

The third proportional to 49,388 and 106,675 is: 230,411.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,388 : 106,675 = 106,675 : x
  2. Step 2: Convert to fraction form
    49,388/106,675 = 106,675/x
  3. Step 3: Cross multiply
    49,388x = 106,675 × 106,675
  4. Step 4: Simplify right side
    49,388x = 11,379,555,625
  5. Step 5: Solve for x
    x = 11,379,555,625/49,388
  6. Step 6: Final answer
    x = 230,411.35

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.