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Finding the Third Proportional to 54,247 and 117,516

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Solution

The third proportional to 54,247 and 117,516 is: 254,576.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,247 : 117,516 = 117,516 : x
  2. Step 2: Convert to fraction form
    54,247/117,516 = 117,516/x
  3. Step 3: Cross multiply
    54,247x = 117,516 × 117,516
  4. Step 4: Simplify right side
    54,247x = 13,810,010,256
  5. Step 5: Solve for x
    x = 13,810,010,256/54,247
  6. Step 6: Final answer
    x = 254,576.48

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.