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Finding the Third Proportional to 104,234 and 161,500

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Solution

The third proportional to 104,234 and 161,500 is: 250,227.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,234 : 161,500 = 161,500 : x
  2. Step 2: Convert to fraction form
    104,234/161,500 = 161,500/x
  3. Step 3: Cross multiply
    104,234x = 161,500 × 161,500
  4. Step 4: Simplify right side
    104,234x = 26,082,250,000
  5. Step 5: Solve for x
    x = 26,082,250,000/104,234
  6. Step 6: Final answer
    x = 250,227.85

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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.