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Finding the Third Proportional to 85,843.88 and 133,079.25

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Solution

The third proportional to 85,843.88 and 133,079.25 is: 206,305.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,843.88 : 133,079.25 = 133,079.25 : x
  2. Step 2: Convert to fraction form
    85,843.88/133,079.25 = 133,079.25/x
  3. Step 3: Cross multiply
    85,843.88x = 133,079.25 × 133,079.25
  4. Step 4: Simplify right side
    85,843.88x = 17,710,086,780.56
  5. Step 5: Solve for x
    x = 17,710,086,780.56/85,843.88
  6. Step 6: Final answer
    x = 206,305.77

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.