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Finding the Third Proportional to 49,911.25 and 108,121.75

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Solution

The third proportional to 49,911.25 and 108,121.75 is: 234,222.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,911.25 : 108,121.75 = 108,121.75 : x
  2. Step 2: Convert to fraction form
    49,911.25/108,121.75 = 108,121.75/x
  3. Step 3: Cross multiply
    49,911.25x = 108,121.75 × 108,121.75
  4. Step 4: Simplify right side
    49,911.25x = 11,690,312,823.06
  5. Step 5: Solve for x
    x = 11,690,312,823.06/49,911.25
  6. Step 6: Final answer
    x = 234,222.00

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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.