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Finding the Third Proportional to 95,852 and 205,582

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Solution

The third proportional to 95,852 and 205,582 is: 440,929.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,852 : 205,582 = 205,582 : x
  2. Step 2: Convert to fraction form
    95,852/205,582 = 205,582/x
  3. Step 3: Cross multiply
    95,852x = 205,582 × 205,582
  4. Step 4: Simplify right side
    95,852x = 42,263,958,724
  5. Step 5: Solve for x
    x = 42,263,958,724/95,852
  6. Step 6: Final answer
    x = 440,929.34

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.