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Finding the Third Proportional to 43,948 and 91,011

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Solution

The third proportional to 43,948 and 91,011 is: 188,472.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,948 : 91,011 = 91,011 : x
  2. Step 2: Convert to fraction form
    43,948/91,011 = 91,011/x
  3. Step 3: Cross multiply
    43,948x = 91,011 × 91,011
  4. Step 4: Simplify right side
    43,948x = 8,283,002,121
  5. Step 5: Solve for x
    x = 8,283,002,121/43,948
  6. Step 6: Final answer
    x = 188,472.79

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.