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Finding the Third Proportional to 95,064 and 133,728

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Solution

The third proportional to 95,064 and 133,728 is: 188,117.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,064 : 133,728 = 133,728 : x
  2. Step 2: Convert to fraction form
    95,064/133,728 = 133,728/x
  3. Step 3: Cross multiply
    95,064x = 133,728 × 133,728
  4. Step 4: Simplify right side
    95,064x = 17,883,177,984
  5. Step 5: Solve for x
    x = 17,883,177,984/95,064
  6. Step 6: Final answer
    x = 188,117.25

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.