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Finding the Third Proportional to 95,723 and 210,742

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Solution

The third proportional to 95,723 and 210,742 is: 463,965.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,723 : 210,742 = 210,742 : x
  2. Step 2: Convert to fraction form
    95,723/210,742 = 210,742/x
  3. Step 3: Cross multiply
    95,723x = 210,742 × 210,742
  4. Step 4: Simplify right side
    95,723x = 44,412,190,564
  5. Step 5: Solve for x
    x = 44,412,190,564/95,723
  6. Step 6: Final answer
    x = 463,965.72

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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.