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Finding the Third Proportional to 55,117 and 117,449

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Solution

The third proportional to 55,117 and 117,449 is: 250,272.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,117 : 117,449 = 117,449 : x
  2. Step 2: Convert to fraction form
    55,117/117,449 = 117,449/x
  3. Step 3: Cross multiply
    55,117x = 117,449 × 117,449
  4. Step 4: Simplify right side
    55,117x = 13,794,267,601
  5. Step 5: Solve for x
    x = 13,794,267,601/55,117
  6. Step 6: Final answer
    x = 250,272.47

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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.