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Finding the Third Proportional to 81,903 and 127,229

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Solution

The third proportional to 81,903 and 127,229 is: 197,638.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,903 : 127,229 = 127,229 : x
  2. Step 2: Convert to fraction form
    81,903/127,229 = 127,229/x
  3. Step 3: Cross multiply
    81,903x = 127,229 × 127,229
  4. Step 4: Simplify right side
    81,903x = 16,187,218,441
  5. Step 5: Solve for x
    x = 16,187,218,441/81,903
  6. Step 6: Final answer
    x = 197,638.90

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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.