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Finding the Third Proportional to 68,194.50 and 145,866

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Solution

The third proportional to 68,194.50 and 145,866 is: 312,003.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,194.50 : 145,866 = 145,866 : x
  2. Step 2: Convert to fraction form
    68,194.50/145,866 = 145,866/x
  3. Step 3: Cross multiply
    68,194.50x = 145,866 × 145,866
  4. Step 4: Simplify right side
    68,194.50x = 21,276,889,956
  5. Step 5: Solve for x
    x = 21,276,889,956/68,194.50
  6. Step 6: Final answer
    x = 312,003.02

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.