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Finding the Third Proportional to 36,090.75 and 79,152

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Solution

The third proportional to 36,090.75 and 79,152 is: 173,591.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,090.75 : 79,152 = 79,152 : x
  2. Step 2: Convert to fraction form
    36,090.75/79,152 = 79,152/x
  3. Step 3: Cross multiply
    36,090.75x = 79,152 × 79,152
  4. Step 4: Simplify right side
    36,090.75x = 6,265,039,104
  5. Step 5: Solve for x
    x = 6,265,039,104/36,090.75
  6. Step 6: Final answer
    x = 173,591.27

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.