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Finding the Third Proportional to 95,632 and 210,137

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Solution

The third proportional to 95,632 and 210,137 is: 461,744.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,632 : 210,137 = 210,137 : x
  2. Step 2: Convert to fraction form
    95,632/210,137 = 210,137/x
  3. Step 3: Cross multiply
    95,632x = 210,137 × 210,137
  4. Step 4: Simplify right side
    95,632x = 44,157,558,769
  5. Step 5: Solve for x
    x = 44,157,558,769/95,632
  6. Step 6: Final answer
    x = 461,744.59

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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.