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Finding the Third Proportional to 95,626 and 210,126

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Solution

The third proportional to 95,626 and 210,126 is: 461,725.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,626 : 210,126 = 210,126 : x
  2. Step 2: Convert to fraction form
    95,626/210,126 = 210,126/x
  3. Step 3: Cross multiply
    95,626x = 210,126 × 210,126
  4. Step 4: Simplify right side
    95,626x = 44,152,935,876
  5. Step 5: Solve for x
    x = 44,152,935,876/95,626
  6. Step 6: Final answer
    x = 461,725.22

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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.