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Finding the Third Proportional to 117,067 and 252,569

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Solution

The third proportional to 117,067 and 252,569 is: 544,911.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,067 : 252,569 = 252,569 : x
  2. Step 2: Convert to fraction form
    117,067/252,569 = 252,569/x
  3. Step 3: Cross multiply
    117,067x = 252,569 × 252,569
  4. Step 4: Simplify right side
    117,067x = 63,791,099,761
  5. Step 5: Solve for x
    x = 63,791,099,761/117,067
  6. Step 6: Final answer
    x = 544,911.03

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.