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Finding the Third Proportional to 121,074.75 and 247,077

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Solution

The third proportional to 121,074.75 and 247,077 is: 504,209.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,074.75 : 247,077 = 247,077 : x
  2. Step 2: Convert to fraction form
    121,074.75/247,077 = 247,077/x
  3. Step 3: Cross multiply
    121,074.75x = 247,077 × 247,077
  4. Step 4: Simplify right side
    121,074.75x = 61,047,043,929
  5. Step 5: Solve for x
    x = 61,047,043,929/121,074.75
  6. Step 6: Final answer
    x = 504,209.54

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.