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Finding the Third Proportional to 113,787.56 and 163,907.44

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Solution

The third proportional to 113,787.56 and 163,907.44 is: 236,103.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,787.56 : 163,907.44 = 163,907.44 : x
  2. Step 2: Convert to fraction form
    113,787.56/163,907.44 = 163,907.44/x
  3. Step 3: Cross multiply
    113,787.56x = 163,907.44 × 163,907.44
  4. Step 4: Simplify right side
    113,787.56x = 26,865,648,067.82
  5. Step 5: Solve for x
    x = 26,865,648,067.82/113,787.56
  6. Step 6: Final answer
    x = 236,103.56

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.