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Finding the Third Proportional to 67,866 and 144,745.13

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Solution

The third proportional to 67,866 and 144,745.13 is: 308,713.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,866 : 144,745.13 = 144,745.13 : x
  2. Step 2: Convert to fraction form
    67,866/144,745.13 = 144,745.13/x
  3. Step 3: Cross multiply
    67,866x = 144,745.13 × 144,745.13
  4. Step 4: Simplify right side
    67,866x = 20,951,151,211.27
  5. Step 5: Solve for x
    x = 20,951,151,211.27/67,866
  6. Step 6: Final answer
    x = 308,713.51

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.