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Finding the Third Proportional to 65,418 and 141,198

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Solution

The third proportional to 65,418 and 141,198 is: 304,761.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,418 : 141,198 = 141,198 : x
  2. Step 2: Convert to fraction form
    65,418/141,198 = 141,198/x
  3. Step 3: Cross multiply
    65,418x = 141,198 × 141,198
  4. Step 4: Simplify right side
    65,418x = 19,936,875,204
  5. Step 5: Solve for x
    x = 19,936,875,204/65,418
  6. Step 6: Final answer
    x = 304,761.31

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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.