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Finding the Third Proportional to 95,840 and 207,970

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Solution

The third proportional to 95,840 and 207,970 is: 451,288.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,840 : 207,970 = 207,970 : x
  2. Step 2: Convert to fraction form
    95,840/207,970 = 207,970/x
  3. Step 3: Cross multiply
    95,840x = 207,970 × 207,970
  4. Step 4: Simplify right side
    95,840x = 43,251,520,900
  5. Step 5: Solve for x
    x = 43,251,520,900/95,840
  6. Step 6: Final answer
    x = 451,288.82

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.