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Finding the Third Proportional to 36,919.13 and 80,075.25

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Solution

The third proportional to 36,919.13 and 80,075.25 is: 173,678.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,919.13 : 80,075.25 = 80,075.25 : x
  2. Step 2: Convert to fraction form
    36,919.13/80,075.25 = 80,075.25/x
  3. Step 3: Cross multiply
    36,919.13x = 80,075.25 × 80,075.25
  4. Step 4: Simplify right side
    36,919.13x = 6,412,045,662.56
  5. Step 5: Solve for x
    x = 6,412,045,662.56/36,919.13
  6. Step 6: Final answer
    x = 173,678.16

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.