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Finding the Third Proportional to 117,778 and 175,067

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Solution

The third proportional to 117,778 and 175,067 is: 260,222.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,778 : 175,067 = 175,067 : x
  2. Step 2: Convert to fraction form
    117,778/175,067 = 175,067/x
  3. Step 3: Cross multiply
    117,778x = 175,067 × 175,067
  4. Step 4: Simplify right side
    117,778x = 30,648,454,489
  5. Step 5: Solve for x
    x = 30,648,454,489/117,778
  6. Step 6: Final answer
    x = 260,222.24

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.