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Finding the Third Proportional to 49,195.50 and 75,629.25

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Solution

The third proportional to 49,195.50 and 75,629.25 is: 116,266.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,195.50 : 75,629.25 = 75,629.25 : x
  2. Step 2: Convert to fraction form
    49,195.50/75,629.25 = 75,629.25/x
  3. Step 3: Cross multiply
    49,195.50x = 75,629.25 × 75,629.25
  4. Step 4: Simplify right side
    49,195.50x = 5,719,783,455.56
  5. Step 5: Solve for x
    x = 5,719,783,455.56/49,195.50
  6. Step 6: Final answer
    x = 116,266.40

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.