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Finding the Third Proportional to 51,289.50 and 115,749

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Solution

The third proportional to 51,289.50 and 115,749 is: 261,219.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,289.50 : 115,749 = 115,749 : x
  2. Step 2: Convert to fraction form
    51,289.50/115,749 = 115,749/x
  3. Step 3: Cross multiply
    51,289.50x = 115,749 × 115,749
  4. Step 4: Simplify right side
    51,289.50x = 13,397,831,001
  5. Step 5: Solve for x
    x = 13,397,831,001/51,289.50
  6. Step 6: Final answer
    x = 261,219.76

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.