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Finding the Third Proportional to 63,916 and 133,064

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Solution

The third proportional to 63,916 and 133,064 is: 277,020.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,916 : 133,064 = 133,064 : x
  2. Step 2: Convert to fraction form
    63,916/133,064 = 133,064/x
  3. Step 3: Cross multiply
    63,916x = 133,064 × 133,064
  4. Step 4: Simplify right side
    63,916x = 17,706,028,096
  5. Step 5: Solve for x
    x = 17,706,028,096/63,916
  6. Step 6: Final answer
    x = 277,020.28

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.