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Finding the Third Proportional to 67,194 and 140,859

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Solution

The third proportional to 67,194 and 140,859 is: 295,283.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,194 : 140,859 = 140,859 : x
  2. Step 2: Convert to fraction form
    67,194/140,859 = 140,859/x
  3. Step 3: Cross multiply
    67,194x = 140,859 × 140,859
  4. Step 4: Simplify right side
    67,194x = 19,841,257,881
  5. Step 5: Solve for x
    x = 19,841,257,881/67,194
  6. Step 6: Final answer
    x = 295,283.18

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.