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Finding the Third Proportional to 95,624 and 210,122

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Solution

The third proportional to 95,624 and 210,122 is: 461,717.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,624 : 210,122 = 210,122 : x
  2. Step 2: Convert to fraction form
    95,624/210,122 = 210,122/x
  3. Step 3: Cross multiply
    95,624x = 210,122 × 210,122
  4. Step 4: Simplify right side
    95,624x = 44,151,254,884
  5. Step 5: Solve for x
    x = 44,151,254,884/95,624
  6. Step 6: Final answer
    x = 461,717.30

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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.