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Finding the Third Proportional to 113,570.44 and 165,067.88

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Solution

The third proportional to 113,570.44 and 165,067.88 is: 239,916.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,570.44 : 165,067.88 = 165,067.88 : x
  2. Step 2: Convert to fraction form
    113,570.44/165,067.88 = 165,067.88/x
  3. Step 3: Cross multiply
    113,570.44x = 165,067.88 × 165,067.88
  4. Step 4: Simplify right side
    113,570.44x = 27,247,403,357.02
  5. Step 5: Solve for x
    x = 27,247,403,357.02/113,570.44
  6. Step 6: Final answer
    x = 239,916.34

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.