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Finding the Third Proportional to 89,546 and 193,081

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Solution

The third proportional to 89,546 and 193,081 is: 416,325.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,546 : 193,081 = 193,081 : x
  2. Step 2: Convert to fraction form
    89,546/193,081 = 193,081/x
  3. Step 3: Cross multiply
    89,546x = 193,081 × 193,081
  4. Step 4: Simplify right side
    89,546x = 37,280,272,561
  5. Step 5: Solve for x
    x = 37,280,272,561/89,546
  6. Step 6: Final answer
    x = 416,325.38

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.