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Finding the Third Proportional to 43,834 and 96,011

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Solution

The third proportional to 43,834 and 96,011 is: 210,295.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,834 : 96,011 = 96,011 : x
  2. Step 2: Convert to fraction form
    43,834/96,011 = 96,011/x
  3. Step 3: Cross multiply
    43,834x = 96,011 × 96,011
  4. Step 4: Simplify right side
    43,834x = 9,218,112,121
  5. Step 5: Solve for x
    x = 9,218,112,121/43,834
  6. Step 6: Final answer
    x = 210,295.94

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.