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Finding the Third Proportional to 89,122 and 190,273

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Solution

The third proportional to 89,122 and 190,273 is: 406,227.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,122 : 190,273 = 190,273 : x
  2. Step 2: Convert to fraction form
    89,122/190,273 = 190,273/x
  3. Step 3: Cross multiply
    89,122x = 190,273 × 190,273
  4. Step 4: Simplify right side
    89,122x = 36,203,814,529
  5. Step 5: Solve for x
    x = 36,203,814,529/89,122
  6. Step 6: Final answer
    x = 406,227.58

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.