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Finding the Third Proportional to 49,415 and 108,672

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Solution

The third proportional to 49,415 and 108,672 is: 238,988.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,415 : 108,672 = 108,672 : x
  2. Step 2: Convert to fraction form
    49,415/108,672 = 108,672/x
  3. Step 3: Cross multiply
    49,415x = 108,672 × 108,672
  4. Step 4: Simplify right side
    49,415x = 11,809,603,584
  5. Step 5: Solve for x
    x = 11,809,603,584/49,415
  6. Step 6: Final answer
    x = 238,988.23

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.