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Finding the Third Proportional to 72,240.50 and 95,855

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Solution

The third proportional to 72,240.50 and 95,855 is: 127,188.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,240.50 : 95,855 = 95,855 : x
  2. Step 2: Convert to fraction form
    72,240.50/95,855 = 95,855/x
  3. Step 3: Cross multiply
    72,240.50x = 95,855 × 95,855
  4. Step 4: Simplify right side
    72,240.50x = 9,188,181,025
  5. Step 5: Solve for x
    x = 9,188,181,025/72,240.50
  6. Step 6: Final answer
    x = 127,188.78

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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.