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Finding the Third Proportional to 85,234 and 127,797

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Solution

The third proportional to 85,234 and 127,797 is: 191,614.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,234 : 127,797 = 127,797 : x
  2. Step 2: Convert to fraction form
    85,234/127,797 = 127,797/x
  3. Step 3: Cross multiply
    85,234x = 127,797 × 127,797
  4. Step 4: Simplify right side
    85,234x = 16,332,073,209
  5. Step 5: Solve for x
    x = 16,332,073,209/85,234
  6. Step 6: Final answer
    x = 191,614.53

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