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Finding the Third Proportional to 95,026 and 209,114

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Solution

The third proportional to 95,026 and 209,114 is: 460,175.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,026 : 209,114 = 209,114 : x
  2. Step 2: Convert to fraction form
    95,026/209,114 = 209,114/x
  3. Step 3: Cross multiply
    95,026x = 209,114 × 209,114
  4. Step 4: Simplify right side
    95,026x = 43,728,664,996
  5. Step 5: Solve for x
    x = 43,728,664,996/95,026
  6. Step 6: Final answer
    x = 460,175.79

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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.