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Finding the Third Proportional to 121,077 and 247,500

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Solution

The third proportional to 121,077 and 247,500 is: 505,928.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,077 : 247,500 = 247,500 : x
  2. Step 2: Convert to fraction form
    121,077/247,500 = 247,500/x
  3. Step 3: Cross multiply
    121,077x = 247,500 × 247,500
  4. Step 4: Simplify right side
    121,077x = 61,256,250,000
  5. Step 5: Solve for x
    x = 61,256,250,000/121,077
  6. Step 6: Final answer
    x = 505,928.05

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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.