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Finding the Third Proportional to 95,491 and 210,042

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Solution

The third proportional to 95,491 and 210,042 is: 462,008.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,491 : 210,042 = 210,042 : x
  2. Step 2: Convert to fraction form
    95,491/210,042 = 210,042/x
  3. Step 3: Cross multiply
    95,491x = 210,042 × 210,042
  4. Step 4: Simplify right side
    95,491x = 44,117,641,764
  5. Step 5: Solve for x
    x = 44,117,641,764/95,491
  6. Step 6: Final answer
    x = 462,008.38

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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.