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Finding the Third Proportional to 81,896.06 and 127,218.09

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Solution

The third proportional to 81,896.06 and 127,218.09 is: 197,621.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,896.06 : 127,218.09 = 127,218.09 : x
  2. Step 2: Convert to fraction form
    81,896.06/127,218.09 = 127,218.09/x
  3. Step 3: Cross multiply
    81,896.06x = 127,218.09 × 127,218.09
  4. Step 4: Simplify right side
    81,896.06x = 16,184,443,377.38
  5. Step 5: Solve for x
    x = 16,184,443,377.38/81,896.06
  6. Step 6: Final answer
    x = 197,621.75

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