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Finding the Third Proportional to 53,872 and 114,656

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Solution

The third proportional to 53,872 and 114,656 is: 244,022.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,872 : 114,656 = 114,656 : x
  2. Step 2: Convert to fraction form
    53,872/114,656 = 114,656/x
  3. Step 3: Cross multiply
    53,872x = 114,656 × 114,656
  4. Step 4: Simplify right side
    53,872x = 13,145,998,336
  5. Step 5: Solve for x
    x = 13,145,998,336/53,872
  6. Step 6: Final answer
    x = 244,022.84

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.