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Finding the Third Proportional to 89,146 and 193,660

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Solution

The third proportional to 89,146 and 193,660 is: 420,705.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,146 : 193,660 = 193,660 : x
  2. Step 2: Convert to fraction form
    89,146/193,660 = 193,660/x
  3. Step 3: Cross multiply
    89,146x = 193,660 × 193,660
  4. Step 4: Simplify right side
    89,146x = 37,504,195,600
  5. Step 5: Solve for x
    x = 37,504,195,600/89,146
  6. Step 6: Final answer
    x = 420,705.31

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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.