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Finding the Third Proportional to 64,869 and 140,814.75

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Solution

The third proportional to 64,869 and 140,814.75 is: 305,674.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,869 : 140,814.75 = 140,814.75 : x
  2. Step 2: Convert to fraction form
    64,869/140,814.75 = 140,814.75/x
  3. Step 3: Cross multiply
    64,869x = 140,814.75 × 140,814.75
  4. Step 4: Simplify right side
    64,869x = 19,828,793,817.56
  5. Step 5: Solve for x
    x = 19,828,793,817.56/64,869
  6. Step 6: Final answer
    x = 305,674.42

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.