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Finding the Third Proportional to 36,209 and 75,725

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Solution

The third proportional to 36,209 and 75,725 is: 158,366.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,209 : 75,725 = 75,725 : x
  2. Step 2: Convert to fraction form
    36,209/75,725 = 75,725/x
  3. Step 3: Cross multiply
    36,209x = 75,725 × 75,725
  4. Step 4: Simplify right side
    36,209x = 5,734,275,625
  5. Step 5: Solve for x
    x = 5,734,275,625/36,209
  6. Step 6: Final answer
    x = 158,366.03

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.