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Finding the Third Proportional to 82,596.38 and 131,279.06

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Solution

The third proportional to 82,596.38 and 131,279.06 is: 208,655.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,596.38 : 131,279.06 = 131,279.06 : x
  2. Step 2: Convert to fraction form
    82,596.38/131,279.06 = 131,279.06/x
  3. Step 3: Cross multiply
    82,596.38x = 131,279.06 × 131,279.06
  4. Step 4: Simplify right side
    82,596.38x = 17,234,192,250.88
  5. Step 5: Solve for x
    x = 17,234,192,250.88/82,596.38
  6. Step 6: Final answer
    x = 208,655.55

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.