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Finding the Third Proportional to 52,701.75 and 114,221.25

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Solution

The third proportional to 52,701.75 and 114,221.25 is: 247,553.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,701.75 : 114,221.25 = 114,221.25 : x
  2. Step 2: Convert to fraction form
    52,701.75/114,221.25 = 114,221.25/x
  3. Step 3: Cross multiply
    52,701.75x = 114,221.25 × 114,221.25
  4. Step 4: Simplify right side
    52,701.75x = 13,046,493,951.56
  5. Step 5: Solve for x
    x = 13,046,493,951.56/52,701.75
  6. Step 6: Final answer
    x = 247,553.33

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.