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Finding the Third Proportional to 95,624 and 140,050

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Solution

The third proportional to 95,624 and 140,050 is: 205,115.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,624 : 140,050 = 140,050 : x
  2. Step 2: Convert to fraction form
    95,624/140,050 = 140,050/x
  3. Step 3: Cross multiply
    95,624x = 140,050 × 140,050
  4. Step 4: Simplify right side
    95,624x = 19,614,002,500
  5. Step 5: Solve for x
    x = 19,614,002,500/95,624
  6. Step 6: Final answer
    x = 205,115.90

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.