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Finding the Third Proportional to 54,002 and 117,696

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Solution

The third proportional to 54,002 and 117,696 is: 256,515.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,002 : 117,696 = 117,696 : x
  2. Step 2: Convert to fraction form
    54,002/117,696 = 117,696/x
  3. Step 3: Cross multiply
    54,002x = 117,696 × 117,696
  4. Step 4: Simplify right side
    54,002x = 13,852,348,416
  5. Step 5: Solve for x
    x = 13,852,348,416/54,002
  6. Step 6: Final answer
    x = 256,515.47

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.