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Finding the Third Proportional to 87,241.50 and 180,963

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Solution

The third proportional to 87,241.50 and 180,963 is: 375,367.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,241.50 : 180,963 = 180,963 : x
  2. Step 2: Convert to fraction form
    87,241.50/180,963 = 180,963/x
  3. Step 3: Cross multiply
    87,241.50x = 180,963 × 180,963
  4. Step 4: Simplify right side
    87,241.50x = 32,747,607,369
  5. Step 5: Solve for x
    x = 32,747,607,369/87,241.50
  6. Step 6: Final answer
    x = 375,367.31

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.