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Finding the Third Proportional to 49,474.75 and 116,675.75

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Solution

The third proportional to 49,474.75 and 116,675.75 is: 275,155.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,474.75 : 116,675.75 = 116,675.75 : x
  2. Step 2: Convert to fraction form
    49,474.75/116,675.75 = 116,675.75/x
  3. Step 3: Cross multiply
    49,474.75x = 116,675.75 × 116,675.75
  4. Step 4: Simplify right side
    49,474.75x = 13,613,230,638.06
  5. Step 5: Solve for x
    x = 13,613,230,638.06/49,474.75
  6. Step 6: Final answer
    x = 275,155.12

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.