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Finding the Third Proportional to 140,059 and 210,188

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Solution

The third proportional to 140,059 and 210,188 is: 315,431.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,059 : 210,188 = 210,188 : x
  2. Step 2: Convert to fraction form
    140,059/210,188 = 210,188/x
  3. Step 3: Cross multiply
    140,059x = 210,188 × 210,188
  4. Step 4: Simplify right side
    140,059x = 44,178,995,344
  5. Step 5: Solve for x
    x = 44,178,995,344/140,059
  6. Step 6: Final answer
    x = 315,431.32

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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.