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Finding the Third Proportional to 49,117.25 and 101,751.75

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Solution

The third proportional to 49,117.25 and 101,751.75 is: 210,789.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,117.25 : 101,751.75 = 101,751.75 : x
  2. Step 2: Convert to fraction form
    49,117.25/101,751.75 = 101,751.75/x
  3. Step 3: Cross multiply
    49,117.25x = 101,751.75 × 101,751.75
  4. Step 4: Simplify right side
    49,117.25x = 10,353,418,628.06
  5. Step 5: Solve for x
    x = 10,353,418,628.06/49,117.25
  6. Step 6: Final answer
    x = 210,789.87

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