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Finding the Third Proportional to 95,724 and 210,744

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Solution

The third proportional to 95,724 and 210,744 is: 463,969.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,724 : 210,744 = 210,744 : x
  2. Step 2: Convert to fraction form
    95,724/210,744 = 210,744/x
  3. Step 3: Cross multiply
    95,724x = 210,744 × 210,744
  4. Step 4: Simplify right side
    95,724x = 44,413,033,536
  5. Step 5: Solve for x
    x = 44,413,033,536/95,724
  6. Step 6: Final answer
    x = 463,969.68

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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.