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Finding the Third Proportional to 51,664.50 and 111,591

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Solution

The third proportional to 51,664.50 and 111,591 is: 241,027.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,664.50 : 111,591 = 111,591 : x
  2. Step 2: Convert to fraction form
    51,664.50/111,591 = 111,591/x
  3. Step 3: Cross multiply
    51,664.50x = 111,591 × 111,591
  4. Step 4: Simplify right side
    51,664.50x = 12,452,551,281
  5. Step 5: Solve for x
    x = 12,452,551,281/51,664.50
  6. Step 6: Final answer
    x = 241,027.23

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.