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Finding the Third Proportional to 95,724 and 206,089

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Solution

The third proportional to 95,724 and 206,089 is: 443,699.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,724 : 206,089 = 206,089 : x
  2. Step 2: Convert to fraction form
    95,724/206,089 = 206,089/x
  3. Step 3: Cross multiply
    95,724x = 206,089 × 206,089
  4. Step 4: Simplify right side
    95,724x = 42,472,675,921
  5. Step 5: Solve for x
    x = 42,472,675,921/95,724
  6. Step 6: Final answer
    x = 443,699.34

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.