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Finding the Third Proportional to 72,241.50 and 95,857

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Solution

The third proportional to 72,241.50 and 95,857 is: 127,192.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,241.50 : 95,857 = 95,857 : x
  2. Step 2: Convert to fraction form
    72,241.50/95,857 = 95,857/x
  3. Step 3: Cross multiply
    72,241.50x = 95,857 × 95,857
  4. Step 4: Simplify right side
    72,241.50x = 9,188,564,449
  5. Step 5: Solve for x
    x = 9,188,564,449/72,241.50
  6. Step 6: Final answer
    x = 127,192.33

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.