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Finding the Third Proportional to 51,073.88 and 118,685.25

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Solution

The third proportional to 51,073.88 and 118,685.25 is: 275,800.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,073.88 : 118,685.25 = 118,685.25 : x
  2. Step 2: Convert to fraction form
    51,073.88/118,685.25 = 118,685.25/x
  3. Step 3: Cross multiply
    51,073.88x = 118,685.25 × 118,685.25
  4. Step 4: Simplify right side
    51,073.88x = 14,086,188,567.56
  5. Step 5: Solve for x
    x = 14,086,188,567.56/51,073.88
  6. Step 6: Final answer
    x = 275,800.27

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.