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Finding the Third Proportional to 95,494 and 210,050

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Solution

The third proportional to 95,494 and 210,050 is: 462,029.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,494 : 210,050 = 210,050 : x
  2. Step 2: Convert to fraction form
    95,494/210,050 = 210,050/x
  3. Step 3: Cross multiply
    95,494x = 210,050 × 210,050
  4. Step 4: Simplify right side
    95,494x = 44,121,002,500
  5. Step 5: Solve for x
    x = 44,121,002,500/95,494
  6. Step 6: Final answer
    x = 462,029.05

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.