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Finding the Third Proportional to 89,122 and 193,615

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Solution

The third proportional to 89,122 and 193,615 is: 420,623.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,122 : 193,615 = 193,615 : x
  2. Step 2: Convert to fraction form
    89,122/193,615 = 193,615/x
  3. Step 3: Cross multiply
    89,122x = 193,615 × 193,615
  4. Step 4: Simplify right side
    89,122x = 37,486,768,225
  5. Step 5: Solve for x
    x = 37,486,768,225/89,122
  6. Step 6: Final answer
    x = 420,623.06

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.