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Finding the Third Proportional to 67,731 and 105,474.75

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Solution

The third proportional to 67,731 and 105,474.75 is: 164,251.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,731 : 105,474.75 = 105,474.75 : x
  2. Step 2: Convert to fraction form
    67,731/105,474.75 = 105,474.75/x
  3. Step 3: Cross multiply
    67,731x = 105,474.75 × 105,474.75
  4. Step 4: Simplify right side
    67,731x = 11,124,922,887.56
  5. Step 5: Solve for x
    x = 11,124,922,887.56/67,731
  6. Step 6: Final answer
    x = 164,251.57

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.