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Finding the Third Proportional to 36,157.50 and 78,741

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Solution

The third proportional to 36,157.50 and 78,741 is: 171,476.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,157.50 : 78,741 = 78,741 : x
  2. Step 2: Convert to fraction form
    36,157.50/78,741 = 78,741/x
  3. Step 3: Cross multiply
    36,157.50x = 78,741 × 78,741
  4. Step 4: Simplify right side
    36,157.50x = 6,200,145,081
  5. Step 5: Solve for x
    x = 6,200,145,081/36,157.50
  6. Step 6: Final answer
    x = 171,476.04

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.