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Finding the Third Proportional to 113,977.13 and 171,026.44

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Solution

The third proportional to 113,977.13 and 171,026.44 is: 256,630.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,977.13 : 171,026.44 = 171,026.44 : x
  2. Step 2: Convert to fraction form
    113,977.13/171,026.44 = 171,026.44/x
  3. Step 3: Cross multiply
    113,977.13x = 171,026.44 × 171,026.44
  4. Step 4: Simplify right side
    113,977.13x = 29,250,042,323.94
  5. Step 5: Solve for x
    x = 29,250,042,323.94/113,977.13
  6. Step 6: Final answer
    x = 256,630.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.