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Finding the Third Proportional to 117,074 and 252,868

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Solution

The third proportional to 117,074 and 252,868 is: 546,169.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,074 : 252,868 = 252,868 : x
  2. Step 2: Convert to fraction form
    117,074/252,868 = 252,868/x
  3. Step 3: Cross multiply
    117,074x = 252,868 × 252,868
  4. Step 4: Simplify right side
    117,074x = 63,942,225,424
  5. Step 5: Solve for x
    x = 63,942,225,424/117,074
  6. Step 6: Final answer
    x = 546,169.31

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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.