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Finding the Third Proportional to 51,833.50 and 111,937

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Solution

The third proportional to 51,833.50 and 111,937 is: 241,733.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,833.50 : 111,937 = 111,937 : x
  2. Step 2: Convert to fraction form
    51,833.50/111,937 = 111,937/x
  3. Step 3: Cross multiply
    51,833.50x = 111,937 × 111,937
  4. Step 4: Simplify right side
    51,833.50x = 12,529,891,969
  5. Step 5: Solve for x
    x = 12,529,891,969/51,833.50
  6. Step 6: Final answer
    x = 241,733.47

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.